159 citations · 404 across the 61 of their papers we have counts for
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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…
Finite-dimensional subalgebras in polynomial Lie algebras of rank one
I. V. Arzhantsev, E. A. Makedonskii, A. P. Petravchuk
Let W_n(K) be the Lie algebra of derivations of the polynomial algebra K[X]:=K[x_1,...,x_n] over an algebraically closed field K of characteristic zero. A subalgebra L of W_n(K) is…
Flag varieties as equivariant compactifications of G_a^n
Ivan V. Arzhantsev
Let G be a semisimple affine algebraic group and P a parabolic subgroup of G. We classify all flag varieties G/P which admit an action of the commutative unipotent group G_a^n with…
Cox Rings
Ivan Arzhantsev, Ulrich Derenthal, Juergen Hausen +1
This is the first chapter of an introductory text under construction; further chapters are available via the authors' web pages. Our aim is to provide an elementary access to Cox r…
Flag varieties, toric varieties, and suspensions: three instances of infinite transitivity
I. V. Arzhantsev, K. Kuyumzhiyan, M. Zaidenberg
We say that a group G acts infinitely transitively on a set X if for every integer m the induced diagonal action of G is transitive on the cartesian mth power of X with the diagona…