4 papers
Rigidity conditions for binomials
Veronika Kikteva
We consider the following three conditions for polynomials in several variables. Condition \textbf{(1)} holds for a polynomial if, for every affine integral domain, the following i…
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…
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…
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…