On manifolds swept out by high dimensional hypersurfaces

Taku Suzuki

    研究成果: Article査読

    抄録

    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.

    本文言語English
    ページ(範囲)5394-5401
    ページ数8
    ジャーナルJournal of Pure and Applied Algebra
    219
    12
    DOI
    出版ステータスPublished - 2015 12 1

    ASJC Scopus subject areas

    • Algebra and Number Theory

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