The reflexivity of a Segre product of projective varieties

Satoru Fukasawa, Hajime Kaji

    Research output: Contribution to journalArticle

    Abstract

    We study the reflexivity of a Segre product of a projective space ℙm and a projective variety Y, and give a criterion for ℙm × Y to be reflexive in terms of m, the dimension of Y, the rank of the general Hessian of Y and the characteristic of the ground field. Our study is closely related to a question raised by Kleiman and Piene on the relationship between the conormal map and the Gauss map.

    Original languageEnglish
    Pages (from-to)279-289
    Number of pages11
    JournalMathematische Annalen
    Volume342
    Issue number2
    DOIs
    Publication statusPublished - 2008 Oct

    Fingerprint

    Gauss Map
    Reflexivity
    Projective Variety
    Projective Space
    Relationships

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    The reflexivity of a Segre product of projective varieties. / Fukasawa, Satoru; Kaji, Hajime.

    In: Mathematische Annalen, Vol. 342, No. 2, 10.2008, p. 279-289.

    Research output: Contribution to journalArticle

    Fukasawa, Satoru ; Kaji, Hajime. / The reflexivity of a Segre product of projective varieties. In: Mathematische Annalen. 2008 ; Vol. 342, No. 2. pp. 279-289.
    @article{756e4450404747d9a15db828e84b7e4a,
    title = "The reflexivity of a Segre product of projective varieties",
    abstract = "We study the reflexivity of a Segre product of a projective space ℙm and a projective variety Y, and give a criterion for ℙm × Y to be reflexive in terms of m, the dimension of Y, the rank of the general Hessian of Y and the characteristic of the ground field. Our study is closely related to a question raised by Kleiman and Piene on the relationship between the conormal map and the Gauss map.",
    author = "Satoru Fukasawa and Hajime Kaji",
    year = "2008",
    month = "10",
    doi = "10.1007/s00208-008-0233-4",
    language = "English",
    volume = "342",
    pages = "279--289",
    journal = "Mathematische Annalen",
    issn = "0025-5831",
    publisher = "Springer New York",
    number = "2",

    }

    TY - JOUR

    T1 - The reflexivity of a Segre product of projective varieties

    AU - Fukasawa, Satoru

    AU - Kaji, Hajime

    PY - 2008/10

    Y1 - 2008/10

    N2 - We study the reflexivity of a Segre product of a projective space ℙm and a projective variety Y, and give a criterion for ℙm × Y to be reflexive in terms of m, the dimension of Y, the rank of the general Hessian of Y and the characteristic of the ground field. Our study is closely related to a question raised by Kleiman and Piene on the relationship between the conormal map and the Gauss map.

    AB - We study the reflexivity of a Segre product of a projective space ℙm and a projective variety Y, and give a criterion for ℙm × Y to be reflexive in terms of m, the dimension of Y, the rank of the general Hessian of Y and the characteristic of the ground field. Our study is closely related to a question raised by Kleiman and Piene on the relationship between the conormal map and the Gauss map.

    UR - http://www.scopus.com/inward/record.url?scp=48349112629&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=48349112629&partnerID=8YFLogxK

    U2 - 10.1007/s00208-008-0233-4

    DO - 10.1007/s00208-008-0233-4

    M3 - Article

    AN - SCOPUS:48349112629

    VL - 342

    SP - 279

    EP - 289

    JO - Mathematische Annalen

    JF - Mathematische Annalen

    SN - 0025-5831

    IS - 2

    ER -