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

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dc.creatorEckl, Thomas
dc.date2008-01-18
dc.date2008-01-22
dc.date.accessioned2026-07-07T08:55:28Z
dc.date.available2026-07-07T08:55:28Z
dc.descriptionUsing 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 $\mathbb{P}^2$.
dc.description14 pages, 5 figures, references added
dc.identifierhttps://arxiv.org/abs/0801.2926
dc.identifierhttp://arxiv.org/abs/0801.2926
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146281
dc.subjectAlgebraic Geometry
dc.subject14J26; 14C20
dc.titleAn asymptotic version of Dumnicki's algorithm for linear systems in $\mathbb{CP}^2$
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