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arXiv:math/0607221 [math.AG]AbstractReferencesReviewsResources

Restricted volumes and base loci of linear series

Lawrence Ein, Robert Lazarsfeld, Mircea Mustata, Michael Nakamaye, Mihnea Popa

Published 2006-07-08, updated 2008-01-10Version 2

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.

Comments: Latex, 38 pages; v.2: final version. To appear in the American Journal of Mathematics
Categories: math.AG
Subjects: 14C20, 14E15, 14E05
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