On low-dimensional cancellation problems

What is it about?

Let $V$ be an affine variety over an algebraically closed field. The main result of this paper can be formulated as follows: If $V\times \Bbb{A}^1$ is birational to $\Bbb{A}^3$, then $V$ is birational to $\Bbb{A}^2$. Such a birational cancellation theorem was already known in characteristic 0; here the authors prove the result in arbitrary characteristic. Reviewed by Stéphane Lamy

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