159 citations · 404 across the 61 of their papers we have counts for
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math.AG2016
Infinite transitivity and special automorphisms
Ivan Arzhantsev
It is known that if the special automorphism group of a quasiaffine variety of dimension at least acts transitively on , then this action is infinitely…
math.AG2016★ 22 cited
The automorphism group of a rigid affine variety
Ivan Arzhantsev, Sergey Gaifullin
An irreducible algebraic variety is rigid if it admits no nontrivial action of the additive group of the ground field. We prove that the automorphism group of a…
math.AG2016
On rigidity of factorial trinomial hypersurfaces
Ivan Arzhantsev
An affine algebraic variety is rigid if the algebra of regular functions admits no nonzero locally nilpotent derivation. We prove that a factorial trinomial hy…