Видеотека: S. S. Galkin, Exceptional collections of four line bundles on Beauville's quotient-product surface

ВИДЕОТЕКА


Международная конференция «Связь теории струн с калибровочными теориями и проблемы модулей бран» 14 сентября 2012 г. 14:00, г. Москва, МИАН

Exceptional collections of four line bundles on Beauville's quotient-product surface S. S. Galkin University of Vienna
Аннотация: 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. Язык доклада: английский