I. Arzhantsev

activity

20002026

most citedFlexible varieties and automorphism groups

159 citations · 404 across the 61 of their papers we have counts for

collaborators

Showing 2023Show all

5 papers · 1 filter

math.AG2023★ 3 cited

Affine homogeneous varieties and suspensions

Ivan Arzhantsev, Yulia Zaitseva

An algebraic variety $X$ is called a homogeneous variety if the automorphism group $Aut (X)$ acts on $X$ transitively, and a homogeneous space if there exists a transitive…

math.AG2023

On conjugacy of additive actions in the affine Cremona group

Ivan Arzhantsev

An additive action on an irreducible algebraic variety $X$ is an effective action $G_{a}^{n} \times X \to X$ with an open orbit of the vector group $G_{a}^{n}$ . Any two add…

math.AG2023

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…

math.AG2023★ 4 cited

Automorphisms of algebraic varieties and infinite transitivity

Ivan Arzhantsev

We survey recent results on multiple transitivity of automorphism groups of affine algebraic varieties. We consider the property of infinite transitivity of the special automorphis…

math.CO2023

Normally located polyhedra

Ivan Arzhantsev

Lattice polyhedra $Q_{1}$ and $Q_{2}$ with the same tail cone are said to be normally located if every lattice point in the Minkowski sum $Q_{1} + Q_{2}$ is the sum of lattice points from $Q…