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math.DGApr 17, 2011
24
citations (OpenAlex)
authors
  • S. Brendle
institutions
  • Stanford University
arXiv abstractPDF
paper

Ricci flat Kahler metrics with edge singularities

arXiv:1103.5454

Abstract

We construct Ricci flat Kahler metrics with cone singularities along a complex hypersurface. This construction is inspired in part by R. Mazzeo's program in the case of negative Einstein constant, and uses the linear theory developed recently by S. Donaldson.

Result strengthened; more references added

Cited by in corpus (17)

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  • Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 π
  • On the moduli of Kahler-Einstein Fano manifolds
  • Conical Kahler-Einstein metric revisited
  • Kahler-Einstein metrics and stability
  • Smooth approximations of the Conical Kahler-Ricci flows
  • Geodesics in the space of Kähler cone metrics
  • Connecting toric manifolds by conical Kahler-Einstein metrics
  • A thermodynamical formalism for Monge-Ampere equations, Moser-Trudinger inequalities and Kahler-Einstein metrics
  • Testing log K-stability by blowing up formalism
  • Existence of Weak Conical Kähler-Einstein Metrics Along Smooth Hypersurfaces
  • Scalar curvature and Futaki invariant of Kähler metrics with cone singularities along a divisor
  • Properness of log F-functionals
  • On convexity of the regular set of conical Kahler-Einstein metrics
  • Edges, Orbifolds, and Seiberg-Witten Theory
  • An index theorem for anti-self-dual orbifold-cone metrics
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