Restricted Volumes and Base Loci of Linear Series

We introduce and study the restricted volume of a divisor along a subvariety. Our main result is a description of the irreducible components of the augmented base locus by the vanishing of the restricted volume.

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Bibliographic Details
Published in:American journal of mathematics 2009-06, Vol.131 (3), p.607-651
Main Authors: Ein, Lawrence, Lazarsfeld, Robert, Mustaţă, Mircea, Nakamaye, Michael, Popa, Mihnea
Format: Article
Language:English
Subjects:
Asymptotic methods
College mathematics
Exact sciences and technology
General mathematics
General, history and biography
Geometric lines
Integers
Linear algebra
Linear systems
Loci
Mathematics
Morphisms
Numerical analysis
Property lines
Rational numbers
Sciences and techniques of general use
Visors
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Description
Summary:We introduce and study the restricted volume of a divisor along a subvariety. Our main result is a description of the irreducible components of the augmented base locus by the vanishing of the restricted volume.
ISSN:0002-9327
1080-6377
1080-6377
DOI:10.1353/ajm.0.0054