Exceptional collections of line bundles on the Beauville surface
By Sergey Galkin, Evgeny Shinder. 2012
51 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f9673bec6c59e7c590cde492bbd497ca5b64372c
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In Geometry and Topology
- Alexander Kuznetsov
- K. Hori
- Emanuele Macrì
- P. Stellari
- Alexander Perry
- Nicolas Addington
- I. Smith
- D. Huybrechts
In Mathematical Physics
- Alexander Kuznetsov
- K. Hori
- Emanuele Macrì
- P. Stellari
- Alexander Perry
- I. Smith
- David Tong
- T. Bridgeland
Citations in the corpus
- Semiorthogonal decompositions in algebraic geometry (2014, background): “In fact, for many surfaces of general type with pg = q = 0 (the classical Godeaux surface, the Beauville surface, the Burniat surfaces, the determinantal Barlow surface, some fake projective planes) exceptional collections of length equal to the rank of the Grothendieck group have been constructed i”