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arXiv · 2402.04462

Algebraic Gromov's ellipticity of cubic hypersurfaces

Shulim Kaliman·Mikhail Zaidenberg
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Abstract

We show that every smooth cubic hypersurface X in P^{n+1}, n> 1 is algebraically elliptic in Gromov's sense. This gives the first examples of non-rational projective manifolds elliptic in Gromov's sense. We also deduce that the punctured affine cone over X is elliptic.

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Shulim Kaliman, Mikhail Zaidenberg. 2024-02-06. Algebraic Gromov's ellipticity of cubic hypersurfaces. https://arxiv.org/abs/2402.04462

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