On manifolds swept out by high dimensional hypersurfaces

Taku Suzuki

    Research output: Contribution to journalArticle

    Abstract

    In this paper, we prove that, if an embedded smooth projective manifold is swept out by high dimensional hypersurfaces of degree d, then either it is a scroll, or it admits an extremal contraction whose general fibers are hypersurfaces of degree d, under the assumption of Hartshorne's famous conjecture on complete intersections.

    Original languageEnglish
    Pages (from-to)5394-5401
    Number of pages8
    JournalJournal of Pure and Applied Algebra
    Volume219
    Issue number12
    DOIs
    Publication statusPublished - 2015 Dec 1

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    ASJC Scopus subject areas

    • Algebra and Number Theory

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