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Restricted volumes and base loci of linear series
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 131, Number 3, June 2009
- pp. 607-651
- 10.1353/ajm.0.0054
- Article
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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.