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math.AGJun 1, 2008
31
citations (OpenAlex)
authors
  • Ivan Cheltsov
  • Constantin Shramov
arXiv abstractPDF
paper

Log canonical thresholds of smooth Fano threefolds. With an appendix by Jean-Pierre Demailly

arXiv:0806.2107

Abstract

We compute global log canonical thresholds of some smooth Fano threefolds.

arXiv comment96 pages, final version, minor grammatical changes

References in corpus (10)

  • Existence of minimal models for varieties of log general type
  • Birational geometry of Fano direct products
  • A sextic surface cannot have 66 nodes
  • Complete toric varieties with reductive automorphism group
  • Which powers of holomorphic functions are integrable?
  • Birational automorphisms of nodal quartic threefolds
  • Sasakian Geometry: The Recent Work of Krzysztof Galicki
  • On singular cubic surfaces
  • Almost del Pezzo manifolds
  • Sasaki-Einstein 5-manifolds associated to toric 3-Sasaki manifolds

Cited by in corpus (10)

  • Birationally rigid Fano threefold hypersurfaces
  • On the moduli of Kahler-Einstein Fano manifolds
  • Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces
  • Asymptotically log Fano varieties
  • Kahler-Einstein metrics emerging from free fermions and statistical mechanics
  • Examples of non-symmetric Kähler-Einstein toric Fano manifolds
  • Affine cones over smooth cubic surfaces
  • Birational superrigidity and slope stability of Fano manifolds
  • Multiplier ideal sheaves and the Kähler-Ricci flow on toric Fano manifolds with large symmetry
  • Multiplier ideal sheaves and geometric problems
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