A new infinite family of hemisystems of the Hermitian surface

John Bamberg, Melissa Lee, Koji Momihara, Qing Xiang

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    In this paper, we construct an infinite family of hemisystems of the Hermitian surface H(3, q2). In particular, we show that for every odd prime power q congruent to 3 modulo 4, there exists a hemisystem of H(3, q2) admitting (Formula presented.).

    Original languageEnglish
    Pages (from-to)43-66
    Number of pages24
    JournalCombinatorica
    Volume38
    Issue number1
    DOIs
    Publication statusPublished - Feb 2018

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    Bamberg, John ; Lee, Melissa ; Momihara, Koji ; Xiang, Qing. / A new infinite family of hemisystems of the Hermitian surface. In: Combinatorica. 2018 ; Vol. 38, No. 1. pp. 43-66.
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    abstract = "In this paper, we construct an infinite family of hemisystems of the Hermitian surface H(3, q2). In particular, we show that for every odd prime power q congruent to 3 modulo 4, there exists a hemisystem of H(3, q2) admitting (Formula presented.).",
    author = "John Bamberg and Melissa Lee and Koji Momihara and Qing Xiang",
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    A new infinite family of hemisystems of the Hermitian surface. / Bamberg, John; Lee, Melissa; Momihara, Koji; Xiang, Qing.

    In: Combinatorica, Vol. 38, No. 1, 02.2018, p. 43-66.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - A new infinite family of hemisystems of the Hermitian surface

    AU - Bamberg, John

    AU - Lee, Melissa

    AU - Momihara, Koji

    AU - Xiang, Qing

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    AB - In this paper, we construct an infinite family of hemisystems of the Hermitian surface H(3, q2). In particular, we show that for every odd prime power q congruent to 3 modulo 4, there exists a hemisystem of H(3, q2) admitting (Formula presented.).

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    UR - https://arxiv.org/abs/1512.00962v2

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