Kähler-Einstein metrics on complex surfaces withC1>0 View Full Text


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Article Info

DATE

1987-03

AUTHORS

Gang Tian, Shing-Tung Yau

ABSTRACT

Various estimates of the lower bound of the holomorphic invariant α(M), defined in [T], are given here by using branched coverings, potential estimates and Lelong numbers of positive,d-closed (1, 1) currents of certain type, etc. These estimates are then applied to produce Kähler-Einstein metrics on complex surfaces withC1>0, in particular, we prove that there are Kähler-Einstein structures withC1>0 on any manifold of differential type. More... »

PAGES

175-203

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01217685

DOI

http://dx.doi.org/10.1007/bf01217685

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1019072662


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