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arXiv · 1302.2309

Infinite transitivity on universal torsors

Ivan Arzhantsev·Alexander Perepechko·Hendrik Süß
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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.

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Ivan Arzhantsev, Alexander Perepechko, Hendrik Süß. 2013-11-08. Infinite transitivity on universal torsors. https://doi.org/10.1112/jlms%2Fjdt081

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