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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Plurisubharmonic functions and nef classes on complex manifolds


Authors: Valentino Tosatti and Ben Weinkove
Journal: Proc. Amer. Math. Soc. 140 (2012), 4003-4010
MSC (2010): Primary 53C55; Secondary 32W20, 32U05, 32U25
Published electronically: February 28, 2012
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Abstract: We prove the existence of plurisubharmonic functions with prescribed logarithmic singularities on complex 3-folds equipped with a nef class of positive volume. We prove the same result for rational classes on Moishezon $ n$-folds.


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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/S0002-9939-2012-11206-7
PII: S 0002-9939(2012)11206-7
Received by editor(s): March 29, 2011
Received by editor(s) in revised form: April 19, 2011
Published electronically: February 28, 2012
Additional Notes: Research supported in part by National Science Foundation grants DMS-08-48193 and DMS-10-05457
The second author was also supported in part by a Sloan Foundation fellowship
Communicated by: Jianguo Cao
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.