Plurisubharmonic functions and nef classes on complex manifolds

Valentino Tosatti; Ben Weinkove

doi:10.1090/S0002-9939-2012-11206-7

Plurisubharmonic functions and nef classes on complex manifolds

Valentino Tosatti^*, Ben Weinkove

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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. 2012 American Mathematical Society.

Original language	English (US)
Pages (from-to)	4003-4010
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	140
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9939-2012-11206-7
State	Published - 2012

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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title = "Plurisubharmonic functions and nef classes on complex manifolds",

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. 2012 American Mathematical Society.",

author = "Valentino Tosatti and Ben Weinkove",

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AU - Tosatti, Valentino

AU - Weinkove, Ben

PY - 2012

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AB - 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. 2012 American Mathematical Society.

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Plurisubharmonic functions and nef classes on complex manifolds

Abstract

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