159 citations · 404 across the 61 of their papers we have counts for
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Root subgroups on affine spherical varieties
Ivan Arzhantsev, Roman Avdeev
Given a connected reductive algebraic group and a Borel subgroup , we study -normalized one-parameter additive group actions on affine spherical -varieties…
Some finiteness results on triangular automorphisms
Ivan Arzhantsev, Kirill Shakhmatov
In this note we prove that every finite collection of connected algebraic subgroups of the group of triangular automorphisms of the affine space generates a connected solvable alge…
Equivariant completions of affine spaces
Ivan Arzhantsev, Yulia Zaitseva
We survey recent results on open embeddings of the affine space into a complete algebraic variety such that the action of the vector group on $\…
Tits type alternative for groups acting on toric affine varieties
I. Arzhantsev, M. Zaidenberg
Given a toric affine algebraic variety and a collection of one-parameter unipotent subgroups of which are normalized by the torus acting…