159 citations · 323 across the 40 of their papers we have counts for
49 papers
Algebraic ellipticity of quartic double spaces
Alexander Dvorsky, Shulim Kaliman, Mikhail Zaidenberg
We prove that every smooth quartic double -fold, , over an algebraically closed field of characteristic zero is algebraically elliptic in Gromov's sense. In particular, e…
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…
Kobayashi-Royden pseudometric on contractible surfaces
Shulim Kaliman
We describe a family of smooth contractible algebraic surfaces different from $\C^2$ such that admits dominant holomorphic maps from $\C^2$ and there is a unique line i…
Gromov's ellipticity of principal -bundles
Shulim Kaliman
We prove that every nontrivial principal -bundle over a complete uniformly rational variety is algebraically elliptic in the sense of Gromov.
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…
Varieties covered by affine spaces, uniformly rational varieties and their cones
I. Arzhantsev, S. Kaliman, M. Zaidenberg
It was shown in [S. Kaliman, M. Zaidenberg, Gromov ellipticity of cones over projective manifolds, Math. Res. Lett. (to appear), arXiv:2303.02036 (2023)] that the affine cones over…