159 citations · 309 across the 28 of their papers we have counts for
24 papers · 1 filter
Cancellation for surfaces revisited. II
Hubert Flenner, Shulim Kaliman, Mikhail Zaidenberg
Let and be affine algebraic varieties over a field . The celebrated Zariski Cancellation Problem asks as to when the existence of an isomorphism $X\times\mathb…
Cancellation for surfaces revisited. I
Hubert Flenner, Shulim Kaliman, Mikhail Zaidenberg
The celebrated Zariski Cancellation Problem asks as to when the existence of an isomorphism for (affine) algebraic varieties and…
The Gromov-Winkelmann theorem for flexible varieties
Hubert Flenner, Shulim Kaliman, Mikhail Zaidenberg
An affine variety of dimension is called {\em flexible} if its special automorphism group SAut acts transitively on the smooth locus \cite{AKZ}. Recall t…
Deformation equivalence of affine ruled surfaces
Hubert Flenner, Shulim Kaliman, Mikhail Zaidenberg
A smooth family of surfaces will be called {\em completable} if there is a logarithmic deformation over so that ${\mathca…
Infinite transitivity on affine varieties
I. Arzhantsev, H. Flenner, S. Kaliman +2
In this note we survey recent results on automorphisms of affine algebraic varieties, infinitely transitive group actions and flexibility. We present related constructions and exam…
Flexible varieties and automorphism groups
I. Arzhantsev, H. Flenner, S. Kaliman +2
Given an affine algebraic variety X of dimension at least 2, we let SAut (X) denote the special automorphism group of X i.e., the subgroup of the full automorphism group Aut (X) ge…