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math.AGAug 1, 2011
36
citations (OpenAlex)
authors
  • Alexander Perepechko
institutions
  • Institut Fourier
  • Lomonosov Moscow State University
  • Université Joseph Fourier
arXiv abstractPDF
paper

Flexibility of affine cones over del Pezzo surfaces of degree 4 and 5

arXiv:1108.5841 · doi:10.1007/s10688-013-0035-7

Abstract

We prove that the action of the special automorphism group on affine cones over del Pezzo surfaces of degree 4 and 5 is infinitely transitive.

6 pages, 3 figures

References in corpus (1)

  • Unipotent Group Actions on Del Pezzo Cones

Cited by in corpus (13)

  • Infinite transitivity on universal torsors
  • Recent developments on Oka manifolds
  • Cylinders in del Pezzo surfaces
  • Infinite transitivity, finite generation, and Demazure roots
  • Infinite transitivity on affine varieties
  • Affine cones over cubic surfaces are flexible in codimension one
  • On rigidity of trinomial hypersurfaces and factorial trinomial varieties
  • Automorphisms of algebraic varieties and infinite transitivity
  • Algebraic Gromov ellipticity: a brief survey
  • Affine cones over Fano-Mukai fourfolds of genus 10 are flexible
  • Flexible affine cones and flexible coverings
  • Cylindrical ample divisors on Du Val del Pezzo surfaces
  • Notes on cylinders in smooth projective surfaces
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