Base loci of linear series are numerically determined
Algebraic Geometry
2007-05-23 v1
Abstract
Suppose D is an effective divisor on a smooth projective algebraic variety X. For each point x of X we associate a numberical invariant called the moving Seshadri constant of D at x which is a numerical measure of positivity of the divisor D at x. We determine the base locus of a large multiple of D by studying these moving Seshadri constants-- the drawback to this method is that these moving Seshadri constants are extremely difficult to compute.
Cite
@article{arxiv.math/0204284,
title = {Base loci of linear series are numerically determined},
author = {Michael Nakamaye},
journal= {arXiv preprint arXiv:math/0204284},
year = {2007}
}
Comments
19 pages