The separability of the Gauss map versus the reflexivity

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    In projective algebraic geometry, various pathological phenomena in positive characteristic have been observed by several authors. Many of those phenomena concerning the behavior of embedded tangent spaces seem to be controlled by the separability of (the extension of function fields defined by) the Gauss map, or by the reflexivity with respect to the projective dual for a projective variety. The purpose of this paper is to survey the studies on the relationship between the separability of the Gauss map and the reflexivity for a projective variety: Is the separability of the Gauss map equivalent to the reflexivity for a projective variety?

    Original languageEnglish
    Pages (from-to)75-82
    Number of pages8
    JournalGeometriae Dedicata
    Volume139
    Issue number1
    DOIs
    Publication statusPublished - 2009 Apr

    Fingerprint

    Gauss Map
    Reflexivity
    Projective Variety
    Separability
    Tangent Space
    Algebraic Geometry
    Positive Characteristic
    Function Fields

    Keywords

    • Conormal map
    • Conormal variety
    • Dual variety
    • Gauss map
    • Reflexive
    • Separable

    ASJC Scopus subject areas

    • Geometry and Topology

    Cite this

    The separability of the Gauss map versus the reflexivity. / Kaji, Hajime.

    In: Geometriae Dedicata, Vol. 139, No. 1, 04.2009, p. 75-82.

    Research output: Contribution to journalArticle

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