4 citations · 4 across the 4 of their papers we have counts for
5 papers
The isotropy group of a derivation on a Danielewski-type algebra
Abdessamad Ahouita, Rene Baltazar, M'hammed El Kahoui +1
Given an algebraically closed field of characteristic zero, we consider in this paper -algebras of the form where …
On locally nilpotent derivations of polynomial algebra in three variables
Nikhilesh Dasgupta, Sergey Gaifullin
In this paper we investigate locally nilpotent derivations on the polynomial algebra in three variables over a field of characteristic zero. We introduce an iterating construction…
Commutative actions on smooth projective quadrics
Viktoriia Borovik, Sergey Gaifullin, Anton Trushin
By a commutative action on a smooth quadric in we mean an effective action of a commutative connected algebraic group on with an open orbit. We show that for…
On homogeneous locally nilpotent derivations of trinomial algebras
Sergey Gaifullin, Yulia Zaitseva
We provide an explicit description of homogeneous locally nilpotent derivations of the algebra of regular functions on affine trinomial hypersurfaces. As an application, we describ…
Automorphisms of Danielewski varieties
Sergey A. Gaifullin
In 2007, Dubouloz introduced Danielewski varieties. Such varieties generalize Danielewski surfaces and provide counterexamples to generalized Zariski cancellation problem in arbitr…