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math.AGJul 1, 2008
15
citations (OpenAlex)
authors
  • Yuji Odaka
institutions
  • Imperial College London
arXiv abstractPDF
paper

The GIT-stability of Polarised Varieties via discrepancy

arXiv:0807.1716

Abstract

We prove that various GIT semistabilities of polarized varieties imply semi-log-canonicity.

Final version. To appear in Annals of Mathematics

References in corpus (7)

  • A generalization of Ross-Thomas' slope theory
  • K-stability of constant scalar curvature polarization
  • A stronger concept of K-stability
  • Finite generation of the log canonical ring in dimension four
  • An example of asymptotically Chow unstable manifolds with constant scalar curvature
  • Quotients by finite equivalence relations
  • Semi log resolution

Cited by in corpus (9)

  • A generalization of Ross-Thomas' slope theory
  • Special test configurations and K-stability of Fano varieties
  • K-polystability of Q-Fano varieties admitting Kahler-Einstein metrics
  • On the moduli of Kahler-Einstein Fano manifolds
  • Compact Moduli Spaces of Del Pezzo Surfaces and Kähler-Einstein metrics
  • Real Monge-Ampere equations and Kahler-Ricci solitons on toric log Fano varieties
  • Stability and singularities of relative hypersurfaces
  • Canonical Kahler metrics and Arithmetics -- Generalising Faltings heights
  • An Analytic Proof of the Stable Reduction Theorem
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