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math.AG2025
Flexibility criterion for affine horospherical varieties
Sergey Gaifullin, Veronika Kikteva
In this paper we obtain a criterion of flexibility for an affine complexity-zero horospherical variety. This result generalizes previously known results on flexibility of normal ho…
math.AG2024
On the connectedness of the automorphism group of an affine toric variety
Veronika Kikteva
We obtain a criterion for the automorphism group of an affine toric variety to be connected in combinatorial terms and in terms of the divisor class group of the variety. The compo…
math.AG2023
Generalization of the ABC theorem on locally nilpotent derivations
Veronika Kikteva
We obtain a generalization of the ABC Theorem on locally nilpotent derivations to the case of the polynomials with m monomials such that each variable is included just in one monom…