Some remarks on syzygies of adjoint line bundles

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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
Issue number7
Publication statusPublished - 2009 Jul


  • Mukai's conjecture
  • Syzygies

ASJC Scopus subject areas

  • Algebra and Number Theory


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