Discrete behavior of Seshadri constants on surfaces |
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Authors: | Brian Harbourne Joaquim Roé |
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Institution: | a Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588-0130, USA b Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain |
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Abstract: | Working over , we show that, apart possibly from a unique limit point, the possible values of multi-point Seshadri constants 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 and new results about ample divisors on blow ups of at general points. |
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Keywords: | Primary 14C20 secondary 14J99 |
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