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International workshop "Relation of String Theory to Gauge Theories and Moduli Problems of Branes"
September 10, 2012 15:00–16:00, Moscow, Steklov Mathematical Institute of RAS
 


Homotopy finiteness of the derived categories of coherent sheaves

A. I. Efimov

Steklov Mathematical Institute of the Russian Academy of Sciences
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MP4 369.3 Mb

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A. I. Efimov


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Abstract: I will briefly recall the notion of homotopy finiteness of enhanced triangulated categories. Then it will be explained how to show that derived categories of coherent sheaves on any separated scheme of finite type over $C$ are homotopically finite, as well as categories of matrix factorizations.
The proof uses Kuznetsov-Lunts construction of categorical resolution of singularities, which in turn uses Hironaka's theorem.

Language: English

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