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math.AGDec 1, 2014
8
citations (OpenAlex)
authors
  • Yuji Odaka
arXiv abstractPDF
paper

Compact moduli space of Kahler-Einstein Fano varieties

arXiv:1412.2972

Abstract

We construct a geometrically compactified moduli algebraic space of Kahler-Einstein Fano manifolds.

arXiv commentFinal version, to appear in Publ. RIMS. (Only minor improvements of exposition are made, after v2.)

References in corpus (11)

  • K-stability and Kähler-Einstein metrics
  • Kahler geometry on toric manifolds, and some other manifolds with large symmetry
  • CM Stability and the Generalized Futaki Invariant I
  • K-stability of constant scalar curvature polarization
  • Log canonical singularities and complete moduli of stable pairs
  • K-polystability of Q-Fano varieties admitting Kahler-Einstein metrics
  • A stronger concept of K-stability
  • On the moduli of Kahler-Einstein Fano manifolds
  • Compact Moduli Spaces of Del Pezzo Surfaces and Kähler-Einstein metrics
  • Stable varieties with a twist
  • Quasi-projectivity of the moduli space of smooth Kahler-Einstein Fano manifolds

Cited by in corpus (4)

  • Quasi-projectivity of the moduli space of smooth Kahler-Einstein Fano manifolds
  • Canonical Kahler metrics and Arithmetics -- Generalising Faltings heights
  • Fano-Ricci limit spaces and spectral convergence
  • Generalized Kähler-Einstein metric along Q-Fano fibration
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