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An algebraic approach to the openness conjecture of Demailly and Kollár

Part of: Pluripotential theory

Published online by Cambridge University Press:  11 March 2013

Mattias Jonsson  and
Mircea Mustaţă
Mattias Jonsson
Affiliation:
Dept of Mathematics, University of Michigan, Ann Arbor, MI 48109-1043, USA (mattiasj@umich.edu; mmustata@umich.edu)
Mircea Mustaţă
Affiliation:
Dept of Mathematics, University of Michigan, Ann Arbor, MI 48109-1043, USA (mattiasj@umich.edu; mmustata@umich.edu)
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Abstract

We reduce the openness conjecture of Demailly and Kollár on the singularities of plurisubharmonic functions to a purely algebraic statement.

Keywords

plurisubharmonic functiongraded sequencelog canonical thresholdvaluation

MSC classification

Secondary: 32U05: Plurisubharmonic functions and generalizations 32U25: Lelong numbers
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 13 , Issue 1 , January 2014 , pp. 119 - 144
Copyright
©Cambridge University Press 2013 

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