Algebraic Gromov’s Ellipticity of Cubic Hypersurfaces
Abstract We show that every smooth cubic hypersurface $$X$$ in $$\mathbb P^{n+1}$$ , $$n\ge 2$$ , is algebraically elliptic in Gromov’s sense. This gives the first examples of nonrational projective manifolds elliptic in Gromov’s sense. We also deduce that the punctured affine cone over $$X$$ is elliptic.
Institutions
- Centre National de la Recherche Scientifique (FR)
- University of Miami (US)
- Institut Fourier (FR)
- Université Grenoble Alpes (FR)
Publication Details
- Journal
- Proceedings of the Steklov Institute of Mathematics
- Published
- 2025-06-01
- DOI
- https://doi.org/10.1134/s008154382560067x
- Primary Topic
- Remote Sensing and LiDAR Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00