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

    Fingerprint

    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.
    @article{58eef6ddbbd943b18d55b67e181ab2cc,
    title = "On manifolds swept out by high dimensional hypersurfaces",
    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.",
    author = "Taku Suzuki",
    year = "2015",
    month = "12",
    day = "1",
    doi = "10.1016/j.jpaa.2015.05.021",
    language = "English",
    volume = "219",
    pages = "5394--5401",
    journal = "Journal of Pure and Applied Algebra",
    issn = "0022-4049",
    publisher = "Elsevier",
    number = "12",

    }

    TY - JOUR

    T1 - On manifolds swept out by high dimensional hypersurfaces

    AU - Suzuki, Taku

    PY - 2015/12/1

    Y1 - 2015/12/1

    N2 - 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.

    AB - 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.

    UR - http://www.scopus.com/inward/record.url?scp=84940452329&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84940452329&partnerID=8YFLogxK

    U2 - 10.1016/j.jpaa.2015.05.021

    DO - 10.1016/j.jpaa.2015.05.021

    M3 - Article

    AN - SCOPUS:84940452329

    VL - 219

    SP - 5394

    EP - 5401

    JO - Journal of Pure and Applied Algebra

    JF - Journal of Pure and Applied Algebra

    SN - 0022-4049

    IS - 12

    ER -

    Access to Document