Restricted volumes and base loci of linear series

Mathematics – Algebraic Geometry

Scientific paper

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Latex, 38 pages; v.2: final version. To appear in the American Journal of Mathematics

Scientific paper

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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