Moving curves and Seshadri constants

Details Moving curves and Seshadri constants Moving curves and Seshadri constants

2008-09-12

arxiv.org/abs/0809.2160v1

Mathematics

Algebraic Geometry

8 pages

Scientific paper

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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