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math.DGSep 12, 2006
15
citations (OpenAlex)
authors
  • Mihai Paun
arXiv abstractPDF
paper

Regularity properties of the degenerate Monge--Ampère equations compact Kähler manifolds

arXiv:math/0609326

Abstract

We prove a regularity result for the Monge--Ampère equations on compact Kaehler manifolds with degenerate rhs member.

arXiv commentsome simple tricks, no figures

Cited by in corpus (7)

  • Limits of Calabi-Yau metrics when the Kahler class degenerates
  • Conic singularities metrics with prescribed Ricci curvature: the case of general cone angles along normal crossing divisors
  • Kähler-Einstein metrics with cone singularities on klt pairs
  • Orbifold regularity of weak Kahler-Einstein metrics
  • Complete scalar-flat Kähler metrics on affine algebraic manifolds
  • Almost scalar-flat Kähler metrics on affine algebraic manifolds
  • Toward a construction of scalar-flat Kähler metrics on affine algebraic manifolds
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