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math.AGJul 1, 2011
4
citations (OpenAlex)
authors
  • Yuji Odaka
  • Takuzo Okada
institutions
  • Kyoto University
  • Saga University
arXiv abstractPDF
paper

Birational superrigidity and slope stability of Fano manifolds

arXiv:1107.3910

Abstract

We show a relation between the birational superrigidity of Fano manifold and its slope stability in the sense of Ross-Thomas.

15 pages. to appear in Mathematische Zeitschrift

References in corpus (9)

  • A generalization of Ross-Thomas' slope theory
  • K-stability of constant scalar curvature polarization
  • Special test configurations and K-stability of Fano varieties
  • A stronger concept of K-stability
  • Log canonical thresholds of smooth Fano threefolds. With an appendix by Jean-Pierre Demailly
  • Kahler-Einstein metrics and stability
  • Alpha invariant and K-stability of Q-Fano varieties
  • Birationally rigid Fano cyclic covers
  • Communication, and concurrency with logic-based restriction inside a calculus of structures

Cited by in corpus (1)

  • Fano hypersurfaces and their birational geometry
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