Seshadri Constants and the geometry of surfaces

Details Seshadri Constants and the geometry of surfaces Seshadri Constants and the geometry of surfaces

2003-01-22

arxiv.org/abs/math/0301251v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

We examine how the Seshadri constant of an ample line bundle at a very
general point of an algebraic surface can carry important global geometric
information about the surface. In particular, we obtain a numerical criterion
for when a surface admits a dominant map to an algebraic curve.

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