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International Conference "Categories and Birational Geometry"
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Derived categories of Fano threefolds of index two with ordinary double points Evgeny Shinder Unversity of Sheffield, UK |
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Abstract: A Kawamata decomposition of the derived category of a singular variety is a semiorthogonal decomposition into a perfect part and derived categories of finite-dimensional algebras. Previously known examples of singular threefolds admitting Kawamata decompositions are nodal V_6 and a nodal quadric. In this talk I will explain that a necessary and sufficient condition for a nodal Fano threefold of index two to admit a Kawamata decomposition is maximal nonfactoriality, which means that Weil divisors separate the singular points. This is joint work in progress with Nebojsa Pavic (Hannover). Language: English |
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