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On Bertini's theorem

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Abstract

We study the singularities of a generic element of a linear system of divisors on a smooth projective variety inside the base locus of the linear system, and give a generalization of Bertini's theorem.

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Authors and Affiliations

  1. Department of Mathematics, Johns Hopkins University, 21218, Baltimore, MD, U.S.A.

    Geng Xu

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  1. Geng Xu
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Partially Supported by NSF grant DMS-9596097

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Xu, G. On Bertini's theorem. Manuscripta Math 89, 237–244 (1996). https://doi.org/10.1007/BF02567515

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  • DOI: https://doi.org/10.1007/BF02567515

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