Moving curves and Seshadri constants

2008/09/12 by Andreas Leopold Knutsen, Knutsen, Andreas Leopold, Wioletta Syzdek +3
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Mathematics and Applications #math.AG #msc:14C20 #msc:14D06

paper · pdf · doi:10.48550/arxiv.0809.2160

8 pages

arxiv created 2008/09/12 · arxiv updated 2009/12/01

Abstract

We study families of curves covering a projective surface and give lower bounds on the self-intersection of the members of such families, improving results of Ein-Lazarsfeld and Xu. We apply the obtained inequalities to get new insights on Seshadri constants and geometry of surfaces.

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