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Characterizing projective bundles by means of ample divisors

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Abstract

Let X be a complex projective manifold and A⊂X a non-singular hypersurface which is an ample divisor having characteristic cycles Ai non-singular in every dimension i⩾0. The pairs (X,A) such that g(A1)=h1,0 (X) are characterized.

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Authors and Affiliations

  1. Dipartimento di Matematica, Via C. Saldini, 50, 20133, Milano, Italia

    Antonio Lanteri

  2. Istituto Matematico, Via Università, 12, 43100, Parma, Italia

    Marino Palleschi

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  1. Antonio Lanteri
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  2. Marino Palleschi
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Lanteri, A., Palleschi, M. Characterizing projective bundles by means of ample divisors. Manuscripta Math 45, 207–218 (1984). https://doi.org/10.1007/BF01158037

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  • DOI: https://doi.org/10.1007/BF01158037

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