Let X be a sufficiently nice scheme. We survey some recent progress on dualizing complexes. It turns out that a complex in K(Inj=X) is dualizing if and only if tensor product with it induces an equivalence of categories from Murfet's new category K m(Proj=X) to the category K(Inj=X). In these terms, it becomes interesting to wonder how to glue such equivalences.
Rigid dualizing complexe / A. Neeman. - In: BULLETIN OF IRANIAN MATHEMATICAL SOCIETY. - ISSN 1018-6301. - 37:2(2011 Jul), pp. 273-290. (Proceedings Conference on Representation Theory of Algebras Tehran 2008).
Rigid dualizing complexe
A. Neeman
2011
Abstract
Let X be a sufficiently nice scheme. We survey some recent progress on dualizing complexes. It turns out that a complex in K(Inj=X) is dualizing if and only if tensor product with it induces an equivalence of categories from Murfet's new category K m(Proj=X) to the category K(Inj=X). In these terms, it becomes interesting to wonder how to glue such equivalences.
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