2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146281Using 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 addedAlgebraic Geometry14J26; 14C20text