An asymptotic version of Dumnicki's algorithm for linear systems in $\mathbb{CP}^2$
Abstract
Description
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 $\mathbb{P}^2$.
14 pages, 5 figures, references added
14 pages, 5 figures, references added