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Projective surfaces withk-very ample line bundles of genus ≤3k+1

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Abstract

Let\(\mathcal{G}\) be the set of surfaces,S, polarized by a k-very ample line bundle,L, with genus≤3k+1. All the elements (S, L) of\(\mathcal{G}\) are listed. The classification of surfaces polarized by ak-very ample line bundle of degree ≤4k+4 is completed by proving that this class of surfaces is a subset of\(\mathcal{G}\).

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  1. Department of Mathematics, University of Notre Dame, Mail Distribution Center, 46556-5683, Notre Dame, Indiana

    Sandra Di Rocco

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  1. Sandra Di Rocco
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Di Rocco, S. Projective surfaces withk-very ample line bundles of genus ≤3k+1. Manuscripta Math 91, 35–59 (1996). https://doi.org/10.1007/BF02567938

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  • DOI: https://doi.org/10.1007/BF02567938

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