Any algebraic variety in positive characteristic admits a projective model with an inseparable Gauss map

Satoru Fukasawa, Hajime Kaji

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    We determine the values attained by the rank of the Gauss map of a projective model for a fixed algebraic variety in positive characteristic p. In particular, it is shown that any variety in p > 0 has a projective model such that the differential of the Gauss map is identically zero. On the other hand, we prove that there exists a product of two or more projective spaces admitting an embedding into a projective space such that the differential of the Gauss map is identically zero if and only if p = 2.

    Original languageEnglish
    Pages (from-to)297-300
    Number of pages4
    JournalJournal of Pure and Applied Algebra
    Volume214
    Issue number3
    DOIs
    Publication statusPublished - 2010 Mar

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    Gauss Map
    Positive Characteristic
    Algebraic Variety
    Projective Space
    Zero
    Model
    If and only if

    ASJC Scopus subject areas

    • Algebra and Number Theory

    Cite this

    Any algebraic variety in positive characteristic admits a projective model with an inseparable Gauss map. / Fukasawa, Satoru; Kaji, Hajime.

    In: Journal of Pure and Applied Algebra, Vol. 214, No. 3, 03.2010, p. 297-300.

    Research output: Contribution to journalArticle

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