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International workshop "Relation of String Theory to Gauge Theories and Moduli Problems of Branes"
September 14, 2012 14:00, Moscow, Steklov Mathematical Institute of RAS
 


Exceptional collections of four line bundles on Beauville's quotient-product surface

S. S. Galkin

University of Vienna
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Flash Video 1,631.1 Mb
MP4 272.2 Mb

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S. S. Galkin


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Abstract: Beauville constructed surface of general type with $p_g = 0$, $K^2 = 8$ and hence Euler number four. We show that exactly 39 line bundles on this surface are acyclic. Moreover, up to twist there are 6 exceptional collections of four line bundles. An orthogonal to any such collection is yet another example of quasi-phantom — non-trivial category with vanishing Hochschild homology. This is joint work with Evgeny Shinder.

Language: English

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