On the classification of non-normal complete intersections of two quadrics

Wanseok Lee, Euisung Park, Peter Schenzel

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)

    Abstract

    Let X⊂PKr be an irreducible non-normal complete intersection of two quadrics which is not a cone. The aim of this paper is to classify all X, up to projective equivalence. Our main result shows that r≤ 5 and there exist exactly six (resp. nine) X's when char K≠ 2 (resp. char. K= 2).

    Original languageEnglish
    Pages (from-to)1222-1234
    Number of pages13
    JournalJournal of Pure and Applied Algebra
    Volume216
    Issue number5
    DOIs
    Publication statusPublished - 2012 May

    Bibliographical note

    Funding Information:
    The first author was supported by the National Researcher program 2010-0020413 of the NRF and the MEST. The second author was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology(2011-0004408). The authors are also grateful to the referee for a careful study of the manuscript and for providing a sketch of an elementary proof of the inequivalences of all except the cases (4), (8), (9) listed in Theorem 1.1, Theorem 1.2.

    ASJC Scopus subject areas

    • Algebra and Number Theory

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