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Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.83.

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The complex Monge-Ampère equation on compact Hermitian manifolds
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by Valentino Tosatti and Ben Weinkove
J. Amer. Math. Soc. 23 (2010), 1187-1195
DOI: https://doi.org/10.1090/S0894-0347-2010-00673-X
Published electronically: May 26, 2010
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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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Bibliographic Information
  • Valentino Tosatti
  • Affiliation: Department of Mathematics, Columbia University, 2990 Broadway, New York, New York 10027
  • MR Author ID: 822462
  • 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
  • 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.
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: J. Amer. Math. Soc. 23 (2010), 1187-1195
  • MSC (2010): Primary 53C55; Secondary 32W20, 32U05
  • DOI: https://doi.org/10.1090/S0894-0347-2010-00673-X
  • MathSciNet review: 2669712