Kahler-Einstein metrics with edge singularities

By Thalia D. Jeffres, Rafe Mazzeo, Yanir A. Rubinstein. 2011

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This article considers the existence and regularity of Kahler-Einstein metrics on a compact Kahler manifold $M$ with edge singularities with cone angle $2\pi\beta$ along a smooth divisor $D$. We prove existence of such metrics with negative, zero and some positive cases for all cone angles $2\pi\beta\leq 2\pi$. The results in the positive case parallel those in the smooth case. We also establish that solutions of this problem are polyhomogeneous, i.e., have a complete asymptotic expansion with smooth coefficients along $D$ for all $2\pi\beta < 2\pi$.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/2ed38014ed13d7c7c8f7c62a96fa5c050a2a09d9

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In Applied Mathematics

In Geometry and Topology

Citations in the corpus

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