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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(online) ISSN 0894-0347(print)

 

The complex Monge-Ampère equation on compact Hermitian manifolds


Authors: Valentino Tosatti and Ben Weinkove
Journal: J. Amer. Math. Soc. 23 (2010), 1187-1195
MSC (2010): Primary 53C55; Secondary 32W20, 32U05
Published electronically: May 26, 2010
MathSciNet review: 2669712
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Abstract: We show that, up to scaling, the complex Monge-Ampère equation on compact Hermitian manifolds always admits a smooth solution.


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Additional Information

Valentino Tosatti
Affiliation: Department of Mathematics, Columbia University, 2990 Broadway, New York, New York 10027
Email: tosatti@math.columbia.edu

Ben Weinkove
Affiliation: Department of Mathematics, University of California San Diego, 9500 Gilman Drive #0112, La Jolla, California 92093
Email: weinkove@math.ucsd.edu

DOI: http://dx.doi.org/10.1090/S0894-0347-2010-00673-X
PII: S 0894-0347(2010)00673-X
Received by editor(s): November 11, 2009
Received by editor(s) in revised form: May 12, 2010
Published electronically: May 26, 2010
Additional Notes: This research is supported in part by National Science Foundation grant DMS-08-48193. The second author is also supported in part by a Sloan Foundation fellowship.
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.