On manifolds swept out by high dimensional hypersurfaces

Taku Suzuki

    Research output: Contribution to journal › Article

    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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    Sweep
    Hypersurface
    High-dimensional
    Complete Intersection
    Contraction
    Fiber

    ASJC Scopus subject areas

    • Algebra and Number Theory

    Cite this

    On manifolds swept out by high dimensional hypersurfaces. / Suzuki, Taku.

    In: Journal of Pure and Applied Algebra, Vol. 219, No. 12, 01.12.2015, p. 5394-5401.

    Research output: Contribution to journal › Article

    Suzuki, T 2015, 'On manifolds swept out by high dimensional hypersurfaces', Journal of Pure and Applied Algebra, vol. 219, no. 12, pp. 5394-5401. https://doi.org/10.1016/j.jpaa.2015.05.021
    Suzuki T. On manifolds swept out by high dimensional hypersurfaces. Journal of Pure and Applied Algebra. 2015 Dec 1;219(12):5394-5401. https://doi.org/10.1016/j.jpaa.2015.05.021
    Suzuki, Taku. / On manifolds swept out by high dimensional hypersurfaces. In: Journal of Pure and Applied Algebra. 2015 ; Vol. 219, No. 12. pp. 5394-5401.
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