A. Regeta

activity

20092020

most citedAutomorphism Groups of Danielewski Surfaces

2 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.AG2020

Small G-varieties

Hanspeter Kraft, Andriy Regeta, Susanna Zimmermann

An affine varieties with an action of a semisimple group $G$ is called "small" if every non-trivial $G$ -orbit in $X$ is isomorphic to the orbit of a highest weight vector. Such a v…

math.AG2019★ 1 cited

Characterizing quasi-affine spherical varieties via the automorphism group

Andriy Regeta, Immanuel van Santen

Let $G$ be a connected reductive algebraic group. In this note we prove that for a quasi-affine $G$ -spherical variety the weight monoid is determined by the weights of its non-triv…

math.AG2017★ 2 cited

Automorphism Groups of Danielewski Surfaces

Matthias Leuenberger, Andriy Regeta

In this note we study the automorphism group of a smooth Danielewski surface $D_{p} = {(x, y, z) \in A^{3} ∣ x y = p (z)} \subset A^{3}$ , where $p \in C [z]$ i…

math.RA2009

On the annihilators of rational functions in the Lie algebra of derivations of k[x, y]

O. G. Iena, A. P. Petravchuk, A. O. Regeta

Let k be an algebraically closed field of zero characteristic. The Lie algebra W_2 of all k-derivations of the polynomial ring k[x, y] naturally acts on the polynomial ring k[x, y]…