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Generic vanishing filtrations and perverse objects in derived categories of coherent sheaves. (English) Zbl 1282.14036

Kawamata, Yujiro (ed.), Derived categories in algebraic geometry. Proceedings of a conference held at the University of Tokyo, Japan in January 2011. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-115-6/hbk). EMS Series of Congress Reports, 251-278 (2012).
The author discusses the relationship between the generic vanishing theorems of Green, Lazarsfeld, Hacon, Popa, Pareschi and others and certain perverse sheaves in the context of derived categories.
For the entire collection see [Zbl 1256.14001].

MSC:

14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
18E30 Derived categories, triangulated categories (MSC2010)
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