3 papers
math.AG2020
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…
math.AG2018
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…
math.AG2017
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…