• Corpus ID: 257353806

Gromov ellipticity of cones over projective manifolds

@inproceedings{Kaliman2023GromovEO,
  title={Gromov ellipticity of cones over projective manifolds},
  author={Shulim Kaliman and Mikhail Zaidenberg},
  year={2023},
  url={https://api.semanticscholar.org/CorpusID:257353806}
}
We find classes of projective manifolds that are elliptic in the sense of Gromov and such that the affine cones over these manifolds also are elliptic off their vertices. For example, the latter holds for any generalized flag manifold of dimension at least 3 successively blown up in a finite set of points and infinitesimally near points. This also holds for any smooth projective rational surface. For the affine cones, the Gromov ellipticity is a much weaker property than the flexibility… 
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