Infinite transitivity on universal torsors

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.

17 pages

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Cited by in corpus (8)

• Additive actions on toric varieties
• Infinite transitivity, finite generation, and Demazure roots
• On images of affine spaces
• Automorphisms of algebraic varieties and infinite transitivity
• Algebraic Gromov ellipticity: a brief survey
• Equivariant completions of affine spaces
• Prehomogeneous modules of commutative linear algebraic groups
• Flexible affine cones and flexible coverings