A. Chernov

activity

20242026

collaborators

4 papers

math.AG2026

On orbits of the automorphism group of toroidal spherical varieties

Alexander Chernov, Klim Rolgin

In this paper we study the orbits of the automorphism group on a toroidal spherical variety. In the affine case, we prove that two points lie in the same orbit of the identity comp…

math.AG2025

Monomial algebras and $G_{a}^{n}$ -equivariant embeddings into toric varieties

Alexander Chernov

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

math.AG2025

On the generators of coordinate algebras of affine ind-varieties

Alexander Chernov

In this paper we study the structure of the coordinate ring of an affine ind-variety. We prove that any coordinate ring of an affine ind-variety which is not isomorphic to an affin…

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…

On orbits of the automorphism group of toroidal spherical varieties

Monomial algebras and Gan​-equivariant embeddings into toric varieties

On the generators of coordinate algebras of affine ind-varieties

Additive actions on projective hypersurfaces with a finite number of orbits

Monomial algebras and $G_{a}^{n}$ -equivariant embeddings into toric varieties