159 citations · 404 across the 61 of their papers we have counts for
3 papers · 2 filters
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…
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…
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…