I. Beldiev

activity

20232025

collaborators

3 papers

math.AG2025

Projective Hypersurfaces of High Degree Admitting an Induced Additive Action

Ivan Beldiev

We study induced additive actions on projective hypersurfaces, i.e. effective regular actions of the algebraic group $G_{a}^{m}$ with an open orbit that can be extended to a re…

math.AG2024

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

Gorenstein Algebras and Uniqueness of Additive Actions

Ivan Beldiev

We study induced additive actions on projective hypersurfaces, i.e. regular actions of the algebraic group $G_{a}^{m}$ with an open orbit that can be extended to a regular acti…