All Stories

  1. Maximizing Curves Viewed as Free Curves

    Article • International Mathematics Research Notices, March 2023, Oxford University Press (OUP)

    Dr. habil. Piotr Pokora, Alexandru Dimca

  2. UNEXPECTED CURVES IN ℙ2, LINE ARRANGEMENTS, AND MINIMAL DEGREE OF JACOBIAN RELATIONS

    Article • Journal of Commutative Algebra, March 2023, Rocky Mountain Mathematics Consortium

    Alexandru Dimca

  3. On the birationality of the Hessian maps of quartic curves and cubic surfaces

    Article • Rendiconti Lincei Matematica e Applicazioni, February 2023, European Mathematical Publishing House

    Alexandru Dimca

  4. Addition-deletion results for the minimal degree of a Jacobian syzygy of a union of two curves

    Article • Journal of Algebra, February 2023, Elsevier

    Alexandru Dimca

  5. Waring Ranks of Sextic Binary Forms via Geometric Invariant Theory

    Article • Transformation Groups, October 2022, Springer Science + Business Media

    Alexandru Dimca

  6. Waring rank of binary forms, harmonic cross-ratio and golden ratio

    Article • Tohoku Mathematical Journal, September 2022, Mathematical Institute, Tohoku University

    Alexandru Dimca

  7. On conic-line arrangements with nodes, tacnodes, and ordinary triple points

    Article • Journal of Algebraic Combinatorics, January 2022, Springer Science + Business Media

    Dr. habil. Piotr Pokora, Alexandru Dimca

  8. On the Bounded Negativity Conjecture and Singular Plane Curves

    Article • Moscow Mathematical Journal, January 2022, National Research University, Higher School of Economics (HSE)

    Alexandru Dimca

  9. The Hessian polynomial and the Jacobian ideal of a reduced hypersurface inPn

    Article • Advances in Mathematics, December 2021, Elsevier

    Alexandru Dimca

  10. Jacobian syzygies, Fitting ideals, and plane curves with maximal global Tjurina numbers

    Article • Collectanea mathematica, June 2021, Springer Science + Business Media

    Alexandru Dimca

  11. Addition–deletion results for the minimal degree of logarithmic derivations of hyperplane arrangements and maximal Tjurina line arrangements

    Article • Journal of Algebraic Combinatorics, November 2020, Springer Science + Business Media

    Alexandru Dimca

  12. Waring Rank of Symmetric Tensors, and Singularities of Some Projective Hypersurfaces

    Article • Mediterranean Journal of Mathematics, October 2020, Springer Science + Business Media

    Alexandru Dimca

  13. Papadima volume

    Article • European Journal of Mathematics, September 2020, Springer Science + Business Media

    Professor Alex Suciu, Alexandru Dimca

  14. On the jumping lines of bundles of logarithmic vector fields along plane curves

    Article • Publicacions Matemàtiques, July 2020, Universitat Autonoma de Barcelona

    Alexandru Dimca

  15. On the Hilbert vector of the Jacobian module of a plane curve

    Article • Portugaliae Mathematica, June 2020, European Mathematical Publishing House

    Alexandru Dimca

  16. On complex supersolvable line arrangements

    Article • Journal of Algebra, June 2020, Elsevier

    Alexandru Dimca

  17. Computing Milnor fiber monodromy for some projective hypersurfaces

    Article • January 2020, American Mathematical Society (AMS)

    Alexandru Dimca

  18. Deformations of plane curves and Jacobian syzygies

    Article • Mathematische Nachrichten, December 2019, Wiley

    Alexandru Dimca

  19. On rational cuspidal plane curves and the local cohomology of Jacobian rings

    Article • Commentarii Mathematici Helvetici, December 2019, European Mathematical Publishing House

    Alexandru Dimca

  20. Freeness and invariants of rational plane curves

    Article • Mathematics of Computation, December 2019, American Mathematical Society (AMS)

    Alexandru Dimca

  21. Saturation of Jacobian ideals: Some applications to nearly free curves, line arrangements and rational cuspidal plane curves

    Article • Journal of Pure and Applied Algebra, December 2019, Elsevier

    Alexandru Dimca

  22. Plane curves with three syzygies, minimal Tjurina curves, and nearly cuspidal curves

    Article • Geometriae Dedicata, October 2019, Springer Science + Business Media

    Alexandru Dimca

  23. Higher order Jacobians, Hessians and Milnor algebras

    Article • Collectanea mathematica, September 2019, Springer Science + Business Media

    Alexandru Dimca

  24. On the minimal value of global Tjurina numbers for line arrangements

    Article • European Journal of Mathematics, September 2019, Springer Science + Business Media

    Alexandru Dimca

  25. Line and rational curve arrangements, and Walther’s inequality

    Article • Rendiconti Lincei Matematica e Applicazioni, September 2019, European Mathematical Publishing House

    Alexandru Dimca

  26. Freeness for 13 lines arrangements is combinatorial

    Article • Discrete Mathematics, August 2019, Elsevier

    Alexandru Dimca

  27. Computing the monodromy and pole order filtration on Milnor fiber cohomology of plane curves

    Article • Journal of Symbolic Computation, March 2019, Elsevier

    Alexandru Dimca

  28. On supersolvable and nearly supersolvable line arrangements

    Article • Journal of Algebraic Combinatorics, December 2018, Springer Science + Business Media

    Alexandru Dimca

  29. Splitting types of bundles of logarithmic vector fields along plane curves

    Article • International Journal of Mathematics, July 2018, World Scientific Pub Co Pte Lt

    Alexandru Dimca

  30. A vanishing result for the first twisted cohomology of affine varieties and applications to line arrangements

    Article • manuscripta mathematica, January 2018, Springer Science + Business Media

    Alexandru Dimca

  31. Free and Nearly Free Curves vs. Rational Cuspidal Plane Curves

    Article • Publications of the Research Institute for Mathematical Sciences, January 2018, European Mathematical Publishing House

    Alexandru Dimca

  32. On 1-forms on isolated complete intersection curve singularities

    Article • Journal of Singularities, January 2018, Journal of Singularities

    Alexandru Dimca

  33. Free and nearly free surfaces in $\mathbb{P}^3$

    Article • Asian Journal of Mathematics, January 2018, International Press of Boston

    Alexandru Dimca

  34. On the Freeness of Rational Cuspidal Plane Curves

    Article • Moscow Mathematical Journal, January 2018, National Research University, Higher School of Economics (HSE)

    Alexandru Dimca

  35. ON THE MILNOR MONODROMY OF THE IRREDUCIBLE COMPLEX REFLECTION ARRANGEMENTS

    Article • Journal of the Institute of Mathematics of Jussieu, November 2017, Cambridge University Press

    Alexandru Dimca

  36. Curve arrangements, pencils, and Jacobian syzygies

    Article • The Michigan Mathematical Journal, June 2017, Michigan Mathematical Journal

    Alexandru Dimca

  37. Jacobian syzygies, stable reflexive sheaves, and Torelli properties for projective hypersurfaces with isolated singularities

    Article • Algebraic Geometry, May 2017, Foundation Compositio Mathematica

    Alexandru Dimca

  38. On the exponents of free and nearly free projective plane curves

    Article • Revista Matemática Complutense, March 2017, Springer Science + Business Media

    Alexandru Dimca

  39. Hyperplane Arrangements

    Article • January 2017, Springer Science + Business Media

    Alexandru Dimca

  40. Characteristic Varieties and Resonance Varieties

    Article • January 2017, Springer Science + Business Media

    Alexandru Dimca

  41. Free Arrangements and de Rham Cohomology of Milnor Fibers

    Article • January 2017, Springer Science + Business Media

    Alexandru Dimca

  42. Free divisors and rational cuspidal plane curves

    Article • Mathematical Research Letters, January 2017, International Press of Boston

    Alexandru Dimca

  43. Hyperplane Arrangements and Their Combinatorics

    Article • January 2017, Springer Science + Business Media

    Alexandru Dimca

  44. Invitation to the Trip

    Article • January 2017, Springer Science + Business Media

    Alexandru Dimca

  45. Logarithmic Connections and Mixed Hodge Structures

    Article • January 2017, Springer Science + Business Media

    Alexandru Dimca

  46. Milnor Fibers and Local Systems

    Article • January 2017, Springer Science + Business Media

    Alexandru Dimca

  47. On the Topology of the Complement $$M({\mathscr {A}})$$ M ( A )

    Article • January 2017, Springer Science + Business Media

    Alexandru Dimca

  48. Orlik–Solomon Algebras and de Rham Cohomology

    Article • January 2017, Springer Science + Business Media

    Alexandru Dimca

  49. Freeness versus maximal global Tjurina number for plane curves

    Article • Mathematical Proceedings of the Cambridge Philosophical Society, September 2016, Cambridge University Press

    Alexandru Dimca

  50. A computational approach to Milnor fiber cohomology

    Article • Forum Mathematicum, September 2016, De Gruyter

    Alexandru Dimca

  51. Mixed multiplicities, Hilbert polynomials and homaloidal surfaces

    Article • Mathematische Nachrichten, September 2016, Wiley

    Alexandru Dimca

  52. Hilbert Series and Lefschetz Properties of Dimension One Almost Complete Intersections

    Article • Communications in Algebra, June 2016, Taylor & Francis

    Alexandru Dimca

  53. The Poincaré–Deligne Polynomial of Milnor Fibers of Triple Point Line Arrangements is Combinatorially Determined

    Article • Canadian Mathematical Bulletin, June 2016, Canadian Mathematical Society

    Alexandru Dimca

  54. On the fundamental groups of normal varieties

    Article • Communications in Contemporary Mathematics, May 2016, World Scientific Pub Co Pte Lt

    Alexandru Dimca

  55. Syzygies of Jacobian ideals and weighted homogeneous singularities

    Article • Journal of Symbolic Computation, May 2016, Elsevier

    Alexandru Dimca

  56. Freeness versus maximal degree of the singular subscheme for surfaces in $$\mathbb {P}^3$$ P 3

    Article • Geometriae Dedicata, March 2016, Springer Science + Business Media

    Alexandru Dimca

  57. Cohomology of the Milnor Fibre of a Hyperplane Arrangement with Symmetry

    Article • January 2016, Springer Science + Business Media

    Alexandru Dimca

  58. Koszul Complexes and Pole Order Filtrations

    Article • Proceedings of the Edinburgh Mathematical Society, October 2014, Cambridge University Press

    Alexandru Dimca

  59. Non-abelian cohomology jump loci from an analytic viewpoint

    Article • Communications in Contemporary Mathematics, July 2014, World Scientific Pub Co Pte Lt

    Alexandru Dimca

  60. Some remarks on limit mixed Hodge structures and spectrum

    Article • Analele ştiinţifice ale Universităţii "Ovidius" Constanţa Seria Matematică, June 2014, De Gruyter

    Alexandru Dimca

  61. The abelianization of the Johnson kernel

    Article • Journal of the European Mathematical Society, April 2014, European Mathematical Publishing House

    Alexandru Dimca

  62. Number of Jordan blocks of the maximal size for local monodromies

    Article • Compositio Mathematica, February 2014, Wiley

    Alexandru Dimca

  63. Arithmetic group symmetry and finiteness properties of Torelli groups

    Article • Annals of Mathematics, March 2013, Annals of Mathematics, Princeton U

    Alexandru Dimca

  64. Weight filtration of the limit mixed Hodge structure at infinity for tame polynomials

    Article • Mathematische Zeitschrift, December 2012, Springer Science + Business Media

    Alexandru Dimca

  65. On the syzygies and Alexander polynomials of nodal hypersurfaces

    Article • Mathematische Nachrichten, July 2012, Wiley

    Alexandru Dimca

  66. Tate properties, polynomial-count varieties, and monodromy of hyperplane arrangements

    Article • Nagoya Mathematical Journal, June 2012, Cambridge University Press

    Alexandru Dimca

  67. Chebyshev curves, free resolutions and rational curve arrangements

    Article • Mathematical Proceedings of the Cambridge Philosophical Society, February 2012, Cambridge University Press

    Alexandru Dimca

  68. Hodge-Deligne equivariant polynomials and monodromy of hyperplane arrangements

    Article • January 2012, Springer Science + Business Media

    Alexandru Dimca

  69. Vanishing cycle sheaves of one-parameter smoothings and quasi-semistable degenerations

    Article • Journal of Algebraic Geometry, April 2011, American Mathematical Society (AMS)

    Alexandru Dimca

  70. First Milnor cohomology of hyperplane arrangements

    Article • January 2011, American Mathematical Society (AMS)

    Alexandru Dimca

  71. Spectrum and multiplier ideals of arbitrary subvarieties

    Article • Annales de l’institut Fourier, January 2011, Cellule MathDoc/CEDRAM

    Alexandru Dimca

  72. Alexander Polynomials: Essential Variables and Multiplicities

    Article • International Mathematics Research Notices, July 2010, Oxford University Press (OUP)

    Professor Alex Suciu, Alexandru Dimca

  73. Quasi-Kähler groups, 3-manifold groups, and formality

    Article • Mathematische Zeitschrift, January 2010, Springer Science + Business Media

    Professor Alex Suciu, Alexandru Dimca

  74. Characteristic varieties and logarithmic differential 1-forms

    Article • Compositio Mathematica, January 2010, Wiley

    Alexandru Dimca

  75. A generalization of Griffiths' theorem on rational integrals, II

    Article • The Michigan Mathematical Journal, December 2009, Michigan Mathematical Journal

    Alexandru Dimca

  76. Topology and geometry of cohomology jump loci

    Article • Duke Mathematical Journal, June 2009, Duke University Press

    Professor Alex Suciu, Alexandru Dimca

  77. On admissible rank one local systems

    Article • Journal of Algebra, June 2009, Elsevier

    Alexandru Dimca

  78. Which 3-manifold groups are Kähler groups?

    Article • Journal of the European Mathematical Society, January 2009, European Mathematical Publishing House

    Professor Alex Suciu, Alexandru Dimca

  79. Non-finiteness properties of fundamental groups of smooth projective varieties

    Article • Journal für die reine und angewandte Mathematik (Crelles Journal), January 2009, De Gruyter

    Professor Alex Suciu, Alexandru Dimca

  80. Lectures on Orlik-Solomon Algebras

    Article • January 2009, Springer Science + Business Media

    Alexandru Dimca

  81. Pencils of Plane Curves and Characteristic Varieties

    Article • January 2009, Springer Science + Business Media

    Alexandru Dimca

  82. Quasi-Kähler Bestvina-Brady groups

    Article • Journal of Algebraic Geometry, January 2008, American Mathematical Society (AMS)

    Professor Alex Suciu, Alexandru Dimca

  83. Characteristic varieties and constructible sheaves

    Article • Rendiconti Lincei Matematica e Applicazioni, December 2007, European Mathematical Publishing House

    Alexandru Dimca

  84. Multivariable Alexander invariants of hypersurface complements

    Article • Transactions of the American Mathematical Society, February 2007, American Mathematical Society (AMS)

    Alexandru Dimca

  85. Regular functions transversal at infinity

    Article • Tohoku Mathematical Journal, December 2006, Mathematical Institute, Tohoku University

    Alexandru Dimca

  86. A generalization of Griffiths's theorem on rational integrals

    Article • Duke Mathematical Journal, November 2006, Duke University Press

    Alexandru Dimca

  87. Multiplier ideals, V-filtrations and transversal sections

    Article • Mathematische Annalen, July 2006, Springer Science + Business Media

    Alexandru Dimca

  88. Singularities and their deformations: how they change the shape and view of objects

    Article • January 2006, Springer Science + Business Media

    Alexandru Dimca

  89. Some analogs of Zariski’s Theorem on nodal line arrangements

    Article • Algebraic & Geometric Topology, July 2005, Mathematical Sciences Publishers

    Alexandru Dimca

  90. Equivariant chain complexes, twisted homology and relative minimality of arrangements

    Article • Annales Scientifiques de l École Normale Supérieure, May 2004, Societe Mathematique de France

    Alexandru Dimca

  91. Sheaves in Topology

    Article • January 2004, Springer Science + Business Media

    Alexandru Dimca

  92. Perverse Sheaves

    Article • January 2004, Springer Science + Business Media

    Alexandru Dimca

  93. Some consequences of perversity of vanishing cycles

    Article • Annales de l’institut Fourier, January 2004, Cellule MathDoc/CEDRAM

    Alexandru Dimca

  94. Hypersurface complements, Milnor fibers and higher homotopy groups of arrangements

    Article • Annals of Mathematics, September 2003, Annals of Mathematics, Princeton U

    Alexandru Dimca

  95. Hyperplane Arrangements, M-Tame Polynomials and Twisted Cohomology

    Article • January 2003, Springer Science + Business Media

    Alexandru Dimca

  96. Article • Compositio Mathematica, January 2003, Wiley

    Alexandru Dimca

  97. Nonresonance conditions for arrangements

    Article • Annales de l’institut Fourier, January 2003, Cellule MathDoc/CEDRAM

    Alexandru Dimca

  98. On the monodromy of complex polynomials

    Article • Duke Mathematical Journal, June 2001, Duke University Press

    Alexandru Dimca

  99. Algebraic Gauss-Manin systems and Brieskorn modules

    Article • American Journal of Mathematics, February 2001, Project Muse

    Alexandru Dimca

  100. Monodromy and Hodge Theory of Regular Functions

    Article • January 2001, Springer Science + Business Media

    Alexandru Dimca

  101. Relative differential forms and complex polynomials

    Article • Bulletin des Sciences Mathématiques, October 2000, Elsevier

    Alexandru Dimca

  102. Dwork cohomology and algebraic ${\Cal D}$ -modules

    Article • Mathematische Annalen, September 2000, Springer Science + Business Media

    Alexandru Dimca

  103. On the connectivity of complex affine hypersurfaces, II

    Article • Topology, September 2000, Elsevier

    Alexandru Dimca

  104. Sur la topologie des polynômes complexes

    Article • January 1998, Springer Science + Business Media

    Alexandru Dimca

  105. A nonlinear model for fractal image coding

    Article • IEEE Transactions on Image Processing, March 1997, Institute of Electrical & Electronics Engineers (IEEE)

    Alexandru Dimca

  106. Real singularities and dihedral representations

    Article • Matemática Contemporânea, January 1997, Sociedade Brasileira de Matematica

    Alexandru Dimca

  107. Hodge numbers of hypersurfaces

    Article • Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, December 1996, Springer Science + Business Media

    Alexandru Dimca

  108. Residues and cohomology of complete intersections

    Article • Duke Mathematical Journal, April 1995, Duke University Press

    Alexandru Dimca

  109. Koszul Complexes and Hypersurface Singularities

    Article • Proceedings of the American Mathematical Society, August 1994, JSTOR

    Alexandru Dimca

  110. On Complex Projective Hypersurfaces which are Homology-Pn's

    Article • July 1994, Cambridge University Press

    Alexandru Dimca

  111. Singularities and Topology of Hypersurfaces

    Article • January 1992, Springer Science + Business Media

    Alexandru Dimca

  112. On the De Rham Cohomology of a Hypersurface Complement

    Article • American Journal of Mathematics, August 1991, JSTOR

    Alexandru Dimca

  113. Differential forms and hypersurface singularities

    Article • January 1991, Springer Science + Business Media

    Alexandru Dimca

  114. Singular Complex Surfaces in P 3 having the same Z -Homology and Q -Homotopy Type as P 2

    Article • Bulletin of the London Mathematical Society, March 1990, Wiley

    Alexandru Dimca

  115. Betti numbers of hypersurfaces and defects of linear systems

    Article • Duke Mathematical Journal, February 1990, Duke University Press

    Alexandru Dimca

  116. On the Milnor fibrations of weighted homogeneous polynomials

    Article • January 1990, Springer Science + Business Media

    Alexandru Dimca

  117. On the connectivity of complex affine hypersurfaces

    Article • Topology, January 1990, Elsevier

    Alexandru Dimca

  118. On analytic abelian coverings

    Article • Mathematische Annalen, January 1988, Springer Science + Business Media

    Alexandru Dimca

  119. On the dual and hessian mappings of projective hypersurfaces

    Article • Mathematical Proceedings of the Cambridge Philosophical Society, May 1987, Cambridge University Press

    Alexandru Dimca

  120. Topics on Real and Complex Singularities

    Article • January 1987, Springer Science + Business Media

    Alexandru Dimca

  121. Singularities and coverings of weighted complete intersections.

    Article • Journal für die reine und angewandte Mathematik (Crelles Journal), March 1986, De Gruyter

    Alexandru Dimca

  122. Classification of Equidimensional contact unimodular map germs.

    Article • MATHEMATICA SCANDINAVICA, December 1985, Aarhus University Library

    Alexandru Dimca

  123. On Analytic Coverings of Weighted Projective Spaces

    Article • Bulletin of the London Mathematical Society, May 1985, Wiley

    Alexandru Dimca

  124. Monodromy and betti numbers of weighted complete intersections

    Article • Topology, January 1985, Elsevier

    Alexandru Dimca

  125. Are the isolated singularities of complete intersections determined by their singular subspaces?

    Article • Mathematische Annalen, December 1984, Springer Science + Business Media

    Alexandru Dimca

  126. Tangencies of generic real projective hypersurfaces.

    Article • MATHEMATICA SCANDINAVICA, December 1983, Aarhus University Library

    Alexandru Dimca

  127. Contact germs from the plane to the plane

    Article • January 1983, American Mathematical Society (AMS)

    Alexandru Dimca

  128. CONTACT UNIMODULAR GERMS FROM THE PLANE TO THE PLANE

    Article • The Quarterly Journal of Mathematics, January 1983, Oxford University Press (OUP)

    Alexandru Dimca

  129. ON THE UNFOLDING OF THE FIRST CONTACT UNIMODULAR FAMILY OF PLANE-TO-PLANE MAP-GERMS

    Article • The Quarterly Journal of Mathematics, January 1983, Oxford University Press (OUP)

    Alexandru Dimca

  130. Local Topology of Reducible Divisors

    Article • Springer Science + Business Media

    Alexandru Dimca

  131. Monodromy of triple point line arrangements

    Article • Mathematical Society of Japan (Project Euclid)

    Alexandru Dimca