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Article

Exceptional collections of line bundles on the Beauville surface

Advances in Mathematics. 2013. Vol. 224. No. 10 September. P. 1033-1050.
Galkin S., Shinder E.

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.