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math.AGJun 1, 2007
39
citations (OpenAlex)
authors
  • Ivan Cheltsov
  • Jihun Park
  • Joonyeong Won
institutions
  • Institute for Basic Science
  • Pohang University of Science and Technology
  • University of Edinburgh
arXiv abstractPDF
paper

Log canonical thresholds of certain Fano hypersurfaces

arXiv:0706.0751 · doi:10.1007/s00209-013-1186-1

Abstract

We study log canonical thresholds on quartic threefolds, quintic fourfolds, and double spaces. As an application, we show that they have a Kaehler-Einstein metric if they are general.

25 pages

Cited by in corpus (9)

  • Birationally rigid Fano threefold hypersurfaces
  • Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces
  • On K-stability of finite covers
  • K-stability of smooth del Pezzo surfaces
  • Alpha invariant and K-stability of Q-Fano varieties
  • Affine cones over smooth cubic surfaces
  • Worst singularities of plane curves of given degree
  • Canonical and log canonical thresholds of Fano complete intersections
  • Birational geometry of Fano double spaces of index two
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