Asymptotic Np property of rational surfaces
Algebraic Geometry
2007-05-23 v2 Commutative Algebra
Rings and Algebras
Abstract
In this paper, we examine Green and Lazarsfeld's Np property for rational surfaces obtained by blowing up the projective plane P^2 at a subscheme of fat points Z. We show that these surfaces, embedded into projective spaces by linear system of plane curves of degree t containing Z, possess property Np for all t >> 0. This gives a positive answer to a conjecture of Geramita and Gimigliano. Our bound for the values t is better than the conjectural value, which is \sigma(Z) + p.
Cite
@article{arxiv.math/0102224,
title = {Asymptotic Np property of rational surfaces},
author = {Ha Huy Tai},
journal= {arXiv preprint arXiv:math/0102224},
year = {2007}
}
Comments
7 pages