An invariant for hypersurfaces in prime characteristic

David Glynn

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    1 Citation (Scopus)

    Abstract

    A hypersurface of order (n + 1)(p h - 1) in projective space of dimension n of prime characteristic p has an invariant monomial. This implies that a hypersurface of order (n+1)(p h-1)-1 determines an invariant point. A hypersurface of order d < n+ 1 in a projective space of dimension n of characteristic two has an invariant set of subspaces of dimension d-1 determined by one linear condition on the Grassmann coordinates of the dual subspaces.

    Original languageEnglish
    Pages (from-to)881-883
    Number of pages3
    JournalSiam Journal on Discrete Mathematics
    Volume26
    Issue number3
    DOIs
    Publication statusPublished - 2012

    Keywords

    • Geometric code
    • Hypersurface
    • Invariant
    • Linear complex
    • Nucleus
    • Prime
    • Projective space

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