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arXiv · 1210.3339

Exceptional collections of line bundles on the Beauville surface

Sergey Galkin·Evgeny Shinder
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Abstract

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.

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Sergey Galkin, Evgeny Shinder. 2013-06-10. Exceptional collections of line bundles on the Beauville surface. https://doi.org/10.1016/j.aim.2013.06.007

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