Some remarks on syzygies of adjoint line bundles

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    Abstract

    In this article, we construct examples of n-folds X carrying an ample line bundle A ∈, Pic X such that property Np fails for KX + (n + 1 + p)A. This shows that the condition of Mukai's conjecture is optimal for every n ≥ 1 and p ≥ 0.

    Original languageEnglish
    Pages (from-to)2184-2192
    Number of pages9
    JournalCommunications in Algebra
    Volume37
    Issue number7
    DOIs
    Publication statusPublished - 2009 Jul

    Keywords

    • Mukai's conjecture
    • Syzygies

    ASJC Scopus subject areas

    • Algebra and Number Theory

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