S. Kaliman

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math.AG2026

A remark on Banecki's theorem

Shulim Kaliman

J. Banecki proved that every smooth projective rational variety is algebraically elliptic in the sense of Gromov. Modifying his proof we show that the same is true for every smooth…

math.AG2025

Gromov's ellipticity of principal $G_{m}$ -bundles

Shulim Kaliman

We prove that every nontrivial principal $G_{m}$ -bundle over a complete uniformly rational variety is algebraically elliptic in the sense of Gromov.

math.AG2025

Algebraic Gromov's ellipticity of cubic hypersurfaces

Shulim Kaliman, Mikhail Zaidenberg

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 elli…

A remark on Banecki's theorem

Gromov's ellipticity of principal Gm​-bundles

Algebraic Gromov's ellipticity of cubic hypersurfaces

Gromov's ellipticity of principal $G_{m}$ -bundles