%0 Journal Article
%T An asymptotic version of Dumnicki's algorithm for linear systems in $\mathbb{CP}^2$
%A Thomas Eckl
%J Mathematics
%D 2008
%I arXiv
%X Using Dumnicki's approach to showing non-specialty of linear systems consisting of plane curves with prescribed multiplicities in sufficiently general points on $\mathbb{P}^2$ we develop an asymptotic method to determine lower bounds for Seshadri constants of general points on $\mathbb{P}^2$. With this method we prove the lower bound 4/13 for 10 general points on $\mathbb{P}^2$.
%U http://arxiv.org/abs/0801.2926v2