Algebraic Gromov's ellipticity of cubic hypersurfaces
Abstract
We show that every smooth cubic hypersurface X in Pn+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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