Seshadri constants on rational surfaces with anticanonical pencils

Details Seshadri constants on rational surfaces with anticanonical pencils Seshadri constants on rational surfaces with anticanonical pencils

2009-08-31

arxiv.org/abs/0908.4502v3

Mathematics

Algebraic Geometry

16 pages

Scientific paper

We study Seshadri constants at general points on rational surfaces whose anticanonical linear systems contain pencils. First, we describe the Seshadri constants of arbitrary ample line bundles on such rational surfaces explicitly by the numerical data of the ample line bundles. Second, we classify log del Pezzo surfaces which are special in terms of the Seshadri constants of the anticanonical divisors when the anticanonical degree is between 4 and 9.

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