A. Chernov

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20242026

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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…

Monomial algebras and Gan​-equivariant embeddings into toric varieties

On the generators of coordinate algebras of affine ind-varieties

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