%0 Journal Article
%T On submaximal plane curves
%A Joaquim Ro¨¦
%J Mathematics
%D 2003
%I arXiv
%X 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).
%U http://arxiv.org/abs/math/0304125v1