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math.AGDec 26, 2017
10
citations (OpenAlex)
authors
  • Ivan Cheltsov
  • Adrien Dubouloz
  • Jihun Park
institutions
  • Centre National de la Recherche Scientifique
  • Institut de Mathématiques de Bourgogne
  • Institute for Basic Science
  • National Research University Higher School of Economics
  • Pohang University of Science and Technology
  • Université Bourgogne Franche-Comté
  • University of Edinburgh
arXiv abstractPDF
paper

Super-rigid Affine Fano Varieties

arXiv:1712.09148 · doi:10.1112/S0010437X18007534

Abstract

We study a wide class of affine varieties, which we call affine Fano varieties. By analogy with birationally super-rigid Fano varieties, we define super-rigidity for affine Fano varieties, and provide many examples and non-examples of super-rigid affine Fano varieties.

21 pages

References in corpus (7)

  • Birational geometry of Fano direct products
  • Ga-actions on affine cones
  • On exceptional quotient singularities
  • Cylinders in singular del Pezzo surfaces
  • Weakly--exceptional quotient singularities
  • Automorphisms of certain affine complements in the projective space
  • Five-Dimensional Weakly Exceptional Quotient Singularities

Cited by in corpus (2)

  • Affine complements in the projective space with the trivial group of automorphisms
  • Cylindrical ample divisors on Du Val del Pezzo surfaces
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