Exceptional collections of line bundles on the Beauville surface

Sergey Galkin, Evgeny Shinder

Research output: Contribution to journalArticlepeer-review


We construct quasi-phantom admissible subcategories in the derived category of coherent sheaves on the Beauville surface S. These quasi-phantoms subcategories appear as right orthogonals to subcategories generated by exceptional collections of maximal possible length 4 on S. We prove that there are exactly 6 exceptional collections consisting of line bundles (up to a twist) and these collections are spires of two helices.
Original languageEnglish
Pages (from-to)1033-1050
JournalAdvances in Mathematics
Publication statusPublished - 10 Sep 2013


  • math.AG
  • math.KT


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