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On the asymptotic expansion of complete Ricciflat Kähler metrics on quasi-projective manifolds
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Bianca Santoro
Published/Copyright:
March 12, 2008
Abstract
In this work, we describe the asymptotic behavior of complete metrics with prescribed Ricci curvature on open Kähler manifolds that can be compactified by the addition of a smooth and ample divisor. First, we construct an explicit sequence of Kähler metrics with special approximating properties. Using those metrics as starting point, we are able to work out the asymptotic behavior of the solutions given in Tian, Gang, Yau, Shing-Tung, Complete Kähler manifolds with zero Ricci curvature. I, J. Amer. Math. Soc. 3 (1990), no. 3, 579–609., in particular obtaining their full asymptotic expansion.
Received: 2006-11-12
Published Online: 2008-03-12
Published in Print: 2008-02-01
© Walter de Gruyter
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Articles in the same Issue
- Parabolic equations with BMO nonlinearity in Reifenberg domains
- Castelnuovo theory and the geometric Schottky problem
- Cohomology of rational forms and a vanishing theorem on toric varieties
- On the asymptotic expansion of complete Ricciflat Kähler metrics on quasi-projective manifolds
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The Chow ring of
- Explicit n-descent on elliptic curves, I. Algebra
- On the Lp-Lq maximal regularity of the Neumann problem for the Stokes equations in a bounded domain
- Parameterized stratification and piece number of D-semianalytic sets
