English

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

R2 v1 2026-07-22T16:44:46.015Z