159 citations · 555 across the 74 of their papers we have counts for
78 papers
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…
Gromov ellipticity of cones over projective manifolds
Shulim Kaliman, Mikhail Zaidenberg
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 examp…
Gromov Ellipticity and subellipticity
Shulim Kaliman, Mikhail Zaidenberg
We establish the equivalence of Gromov ellipticity and subellipticity in the algebraic category.
Central Weyl involutions on Fano-Mukai fourfolds of genus 10
Mikhail Zaidenberg
It is known that every Fano-Mukai fourfold X of genus 10 is acted upon by an involution which comes from the center of the Weyl group of the simple algebraic group of type ${\r…
Automorphism groups of rigid affine surfaces: the identity component
Alexander Perepechko, Mikhail Zaidenberg
It is known that the identity component of the automorphism group of a projective algebraic variety is an algebraic group. This is not true in general for quasi-projective varietie…