Kähler Metrics with Cone Singularities Along a Divisor

  • S. K. Donaldson


We develop some analytical foundations for the study of Kähler metrics with cone singularities in codimension one. The main result is an analogue of the Schauder theory in this setting. In the later parts of the paper we discuss connections with the existence problem for Kähler–Einstein metrics,in the positive case.


Line Bundle Heat Kernel Cone Angle Cone Singularity Einstein Metrics 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of MathematicsImperial CollegeLondonUK

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