Restricted volumes and base loci of linear series
Algebraic Geometry
2008-01-10 v2
Abstract
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.
Cite
@article{arxiv.math/0607221,
title = {Restricted volumes and base loci of linear series},
author = {Lawrence Ein and Robert Lazarsfeld and Mircea Mustata and Michael Nakamaye and Mihnea Popa},
journal= {arXiv preprint arXiv:math/0607221},
year = {2008}
}
Comments
Latex, 38 pages; v.2: final version. To appear in the American Journal of Mathematics