Infinite transitivity on universal torsors

Ivan Arzhantsev, Alexander Perepechko, Hendrik Süß

Published 2013-02-10, updated 2013-11-08Version 2

Let X be an algebraic variety covered by open charts isomorphic to the affine space and q: X' \to X be the universal torsor over X. We prove that the automorphism group of the quasiaffine variety X' acts on X' infinitely transitively. Also we find wide classes of varieties X admitting such a covering.