Anton Shafarevich

activity

20202026

collaborators

7 papers

math.AG2026

Automorphism Groups of Reductive and Root Monoids

Anton Shafarevich

We describe the automorphism groups of reductive monoids and of root monoids with active groups of invertible elements.

math.AG2025

Flexibility of affine spherical varieties

Anton Shafarevich

We prove that the automorphism group $Aut (X)$ of an affine spherical variety $X$ acts transitively on the set of smooth points $X^{r e g} .$ If every invertible regular funct…

math.AG2025

Limit points of one-parameter subgroups for additive actions on hypersurfaces

Anton Shafarevich

By an additive action on an algebraic variety $X$ over $C$ , we mean an action of the group $G_{a}^{n} = C^{n}$ on $X$ with an open orbit. We study limit point…

math.AG2024

Additive actions on projective hypersurfaces with a finite number of orbits

Viktoriia Borovik, Alexander Chernov, Anton Shafarevich

An induced additive action on a projective variety $X \subseteq P^{n}$ is a regular action of the group $G_{a}^{m}$ on $X$ with an open orbit, which can be extended to…

math.AG2022

On the automorphism group of a toral variety

Anton Shafarevich, Anton Trushin

Let $K$ be an algebraically closed field of characteristic zero. An affine algebraic variety $X$ over $K$ is toral if it is isomorphic to a closed subvariety of a…

math.AG2021

Euler-symmetric projective toric varieties and additive actions

Anton Shafarevich

Let $G_{a}$ be the additive group of the field of complex numbers $C$ . We say that an irreducible algebraic variety $X$ of dimension $n$ admits an additive action i…

math.AG2020

Additive actions on toric projective hypersurfaces

Anton Shafarevich

Let $K$ be an algebraically closed field of characteristic zero and $G_{a}$ be the additive group of $K$ . We say that an irreducible algebraic variety $X$ …