Discrete behavior of Seshadri constants on surfaces
Algebraic Geometry
2007-09-26 v1
Abstract
Working over C, we show that, apart possibly from a unique limit point, the possible values of multi-point Seshadri constant for general points on smooth projective surfaces form a discrete set. In addition to its theoretical interest, this result is of practical value, which we demonstrate by giving significantly improved explicit lower bounds for Seshadri constants on P^2 and new results about ample divisors on blow ups of P^2 at general points.
Keywords
Cite
@article{arxiv.0709.3937,
title = {Discrete behavior of Seshadri constants on surfaces},
author = {Brian Harbourne and Joaquim Roe},
journal= {arXiv preprint arXiv:0709.3937},
year = {2007}
}
Comments
14 pages, to appear in J. Pure App. Algebra