Algebraic Gromov's ellipticity of cubic hypersurfaces
arXiv:2402.04462
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.
14 pp. Minor changes. The final version