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.
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Dedicated to the 80th Anniversary of Professor Stephen Smale
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Donaldson, S.K. (2012). Kähler Metrics with Cone Singularities Along a Divisor. In: Pardalos, P., Rassias, T. (eds) Essays in Mathematics and its Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28821-0_4
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DOI: https://doi.org/10.1007/978-3-642-28821-0_4
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