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BibTex format

@article{Chen:2015:10.1090/S0894-0347-2014-00800-6,
author = {Chen, X and Donaldson, S and Sun, S},
doi = {10.1090/S0894-0347-2014-00800-6},
journal = {Journal of the American Mathematical Society},
pages = {199--234},
title = {Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than 2 pi},
url = {http://dx.doi.org/10.1090/S0894-0347-2014-00800-6},
volume = {28},
year = {2015}
}

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TY  - JOUR
AB  - This is the second of a series of three papers which prove the fact that a K-stable Fano manifold admits a Kähler-Einstein metric. In this paper we consider the Gromov-Hausdorff limits of metrics with cone singularities in the case when the limiting cone angle is less than 2$ {\pi }$. We show that these are in a natrual way projective algebraic varieties. In the case when the limiting variety and the limiting divisor are smooth we show that the limiting metric also has standard cone singularities.
AU  - Chen,X
AU  - Donaldson,S
AU  - Sun,S
DO  - 10.1090/S0894-0347-2014-00800-6
EP  - 234
PY  - 2015///
SN  - 0894-0347
SP  - 199
TI  - Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than 2 pi
T2  - Journal of the American Mathematical Society
UR  - http://dx.doi.org/10.1090/S0894-0347-2014-00800-6
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000351489900006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
VL  - 28
ER  -

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Professor Sir Simon Donaldson FRS

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