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Kähler Metrics with Cone Singularities Along a Divisor

S. K. Donaldson ()
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S. K. Donaldson: Imperial College, Department of Mathematics

A chapter in Essays in Mathematics and its Applications, 2012, pp 49-79 from Springer

Abstract: Abstract 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.

Keywords: Line Bundle; Heat Kernel; Cone Angle; Cone Singularity; Einstein Metrics (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-28821-0_4

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DOI: 10.1007/978-3-642-28821-0_4

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