Yulia Zaitseva

activity

20182026

most citedCommutative algebraic monoid structures on affine spaces

12 citations · 22 across the 10 of their papers we have counts for

collaborators

10 papers

math.AC2026

An infinite series of Gorenstein local algebras failing the affine homogeneity property

Roman Avdeev, Yulia Zaitseva

We provide an infinite series of commutative finite-dimensional Gorenstein local algebras $A_{n}$ for $n \geq 2$ . We give an elementary proof that the maximal ideal of every algebra $…

math.AG2025

Root monoids and active algebraic groups

Ekaterina Nistiuk, Yulia Zaitseva

We describe affine monoids whose group of invertible elements is an active semidirect product of a unipotent group and a torus, in terms of comultiplications on the algebra of regu…

math.AG2024

Algebraic monoid structures on the affine 3-space

Ivan Arzhantsev, Roman Avdeev, Yulia Zaitseva

We complete the classification of algebraic monoid structures on the affine 3-space. The result is based on a reduction of the general case to that of commutative monoids. We also…

math.AG2024★ 1 cited

On Normality of Projective Hypersurfaces with an Additive Action

Ivan Arzhantsev, Ivan Beldiev, Yulia Zaitseva

We study projective hypersurfaces $X$ admitting an induced additive action, i.e., an effective action $G_{a}^{m} \times X \to X$ of the vector group $G_{a}^{m}$ with an ope…

math.AG2023★ 1 cited

Affine monoids of corank one

Yulia Zaitseva

We give a classification of noncommutative algebraic monoid structures on normal affine varieties such that the group of invertible elements of the monoid is connected, solvable, a…

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.AG2022

Homogeneous algebraic varieties and transitivity degree

Ivan Arzhantsev, Kirill Shakhmatov, Yulia Zaitseva

Let $X$ be an algebraic variety such that the group $Aut (X)$ acts on $X$ transitively. We define the transitivity degree of $X$ as a maximal number $m$ such that the action…

math.AG2020

Equivariant completions of affine spaces

Ivan Arzhantsev, Yulia Zaitseva

We survey recent results on open embeddings of the affine space $C^{n}$ into a complete algebraic variety $X$ such that the action of the vector group $G_{a}^{n}$ on $\…

math.AG2020★ 5 cited

Commutative algebraic monoid structures on affine surfaces

Sergey Dzhunusov, Yulia Zaitseva

We classify commutative algebraic monoid structures on normal affine surfaces over an algebraically closed field of characteristic zero. The answer is given in two languages: comul…

math.AG2018★ 12 cited

Commutative algebraic monoid structures on affine spaces

Ivan Arzhantsev, Sergey Bragin, Yulia Zaitseva

We study commutative associative polynomial operations $A^{n} \times A^{n} \to A^{n}$ with unit on the affine space $A^{n}$ over an algebraically closed fie…