Ivan Arzhantsev

Let X be an algebraic variety covered by open charts isomorphic to the affine space and let 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. This is a joint work with Alexander Perepechko and Hendrik Suess.