On submaximal plane curves
Algebraic Geometry
2007-05-23 v1
Abstract
We prove that a submaximal plane curve (i.e., an irreducible counterexample to Nagata's conjecture) with r singular points has sequence of multiplicities (m, n, ..., n) with m<sn for every integer with ((s-1)(s+2))^2 > 6.76(r-1).
Cite
@article{arxiv.math/0304125,
title = {On submaximal plane curves},
author = {Joaquim Roé},
journal= {arXiv preprint arXiv:math/0304125},
year = {2007}
}
Comments
4 pages