A. Perepechko

activity

20082026

most citedFlexibility of affine cones over del Pezzo surfaces of degree 4 and 5

36 citations · 91 across the 17 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.AG2022★ 2 cited

Radiant toric varieties and unipotent group actions

Ivan Arzhantsev, Alexander Perepechko, Kirill Shakhmatov

We consider complete toric varieties $X$ such that a maximal unipotent subgroup $U$ of the automorphism group $Aut (X)$ acts on $X$ with an open orbit. It turns out that such…

math.AG2022

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…

math.AG2022★ 1 cited

Automorphism groups of affine varieties consisting of algebraic elements

Alexander Perepechko, Andriy Regeta

Given an affine algebraic variety $X$ , we prove that if the neutral component $Aut^{\circ} (X)$ of the automorphism group consists of algebraic elements, then it is nested, i…