Discrete behavior of Seshadri constants on surfaces

Details Discrete behavior of Seshadri constants on surfaces Discrete behavior of Seshadri constants on surfaces

2007-09-25

arxiv.org/abs/0709.3937v1

Mathematics

Algebraic Geometry

14 pages, to appear in J. Pure App. Algebra

Scientific paper

10.1016/j.jpaa.2007.06.018

Working over C, we show that, apart possibly from a unique limit point, the possible values of multi-point Seshadri constant for general points on smooth projective surfaces form a discrete set. In addition to its theoretical interest, this result is of practical value, which we demonstrate by giving significantly improved explicit lower bounds for Seshadri constants on P^2 and new results about ample divisors on blow ups of P^2 at general points.

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