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We show conditions under which the balanced and strongly Gauduchon cones of a complex solvmanifold are non-degenerate. These cones are explicitly described on the complex nilmanifolds with underlying Lie algebra h_{19}^-.
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This page is a summary of: Balanced and strongly Gauduchon cones on solvmanifolds, International Journal of Geometric Methods in Modern Physics, October 2014, World Scientific Pub Co Pte Lt,
DOI: 10.1142/s0219887814600317.
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