159 citations · 404 across the 61 of their papers we have counts for
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math.AG2012★ 10 cited
Infinite transitivity on affine varieties
I. Arzhantsev, H. Flenner, S. Kaliman +2
In this note we survey recent results on automorphisms of affine algebraic varieties, infinitely transitive group actions and flexibility. We present related constructions and exam…
math.AG2012★ 4 cited
On orbits of the automorphism group on an affine toric variety
Ivan Arzhantsev, Ivan Bazhov
Let X be an affine toric variety. The total coordinates on X provide a canonical presentation of X as a quotient of a vector space by a linear action of a quasitorus. We prove that…
math.AG2012
The automorphism group of a variety with torus action of complexity one
Ivan Arzhantsev, Juergen Hausen, Elaine Herppich +1
We consider a normal complete rational variety with a torus action of complexity one. In the main results, we determine the roots of the automorphism group and give an explicit des…