Seshadri constants on rational surfaces with anticanonical pencils |
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Authors: | Taro Sano |
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Institution: | Mathematics Institute, Zeeman Building, University of Warwick, Coventry, CV4 7AL, UK |
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Abstract: | We study a Seshadri constant at a general point on a rational surface whose anticanonical linear system contains a pencil. First, we describe a Seshadri constant of an ample line bundle on such a rational surface explicitly by the numerical data of the ample line bundle. 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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Keywords: | Primary 14C20 14J26 Secondary 14D06 |
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