On Nagata's Conjecture
Algebraic Geometry
2007-05-23 v1
Abstract
Modifying an approach of J. Roe, this paper gives an improved lower bound on the degrees d such that for general points p1,...,pn in P2 and m > 0 there is a plane curve of degree d vanishing at each point pi with multiplicity at least m. In certain cases, for m not too large compared with n, the new bound implies a bound conjectured by Nagata.
Keywords
Cite
@article{arxiv.math/9909093,
title = {On Nagata's Conjecture},
author = {Brian Harbourne},
journal= {arXiv preprint arXiv:math/9909093},
year = {2007}
}
Comments
6 pages