Infinite transitivity on universal torsors
Algebraic Geometry
2014-10-07 v2
Abstract
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.
Cite
@article{arxiv.1302.2309,
title = {Infinite transitivity on universal torsors},
author = {Ivan Arzhantsev and Alexander Perepechko and Hendrik Süß},
journal= {arXiv preprint arXiv:1302.2309},
year = {2014}
}
Comments
17 pages