On the tangentially degenerate curves, II

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    A projective curve X in ℙNis said to be tangentially degenerate if a tangent line to X at a general point P meets X again at a point other than P. In this article, we prove that if X is tangentially degenerate in characteristic zero, then X is contained in a 2-plane under a certain condition on singularities of X. We also investigate a counter-example of E. Esteves and M. Homma in positive characteristic case, and present a conjecture that our investigation leads to.

    Original languageEnglish
    Pages (from-to)745-752
    Number of pages8
    JournalBulletin of the Brazilian Mathematical Society
    Volume45
    Issue number4
    DOIs
    Publication statusPublished - 2015

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    P-point
    Curve
    Positive Characteristic
    Tangent line
    Counterexample
    Singularity
    Zero

    Keywords

    • Gauss map
    • orders
    • reflexive
    • tangentially degenerate

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    On the tangentially degenerate curves, II. / Kaji, Hajime.

    In: Bulletin of the Brazilian Mathematical Society, Vol. 45, No. 4, 2015, p. 745-752.

    Research output: Contribution to journalArticle

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