Algebraic Gromov's ellipticity of cubic hypersurfaces
Algebraic Geometry
2025-01-30 v4
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.
Keywords
Cite
@article{arxiv.2402.04462,
title = {Algebraic Gromov's ellipticity of cubic hypersurfaces},
author = {Shulim Kaliman and Mikhail Zaidenberg},
journal= {arXiv preprint arXiv:2402.04462},
year = {2025}
}
Comments
14 pp. Minor changes. The final version