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arXiv · 0801.2926

An asymptotic version of Dumnicki's algorithm for linear systems in $\mathbb{CP}^2$

Thomas Eckl
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Abstract

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 $\mathbb{P}^2$.

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Thomas Eckl. 2008-01-22. An asymptotic version of Dumnicki's algorithm for linear systems in $\mathbb{CP}^2$. https://arxiv.org/abs/0801.2926

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