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Hello,

Can anybody point to me a reference about the preservation of the derived bounded category of sheaves with constructible cohomology on the underlying classical (anayltic) space of a complex algebraic variety, with respect to the functors Verdier duality and push-forward (probably "!").

Note that I am aware of Kashiwara and Schapira book, but I would like some other reference which does not use this microlocalization things which I do not know.

Thank you, Sasha

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1 Answer 1

You could try Sheaves in Topology by Alexandru Dimca. There are no prerequisites other than basic sheaf theory, so you don't have to worry about microlocal troubles or anything else.

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I like this book a lot, but (like for most 'heavy' results) it doesn't actually give a proof, only references. Here is what Dimca writes immediately before Theorem 4.1.5., which says that $D^b_c(-)$ is closed under the six operations: "For the proof in the case X, Y smooth, see [Kashiwara and Schapira]. The singular case follows from [Borel], see also remark 4.1.7. below. The claim in (i)(b), the algebraic case, is in [Nori]. For a unified treatment, see [Schürmann]." –  Dan Petersen Jan 26 '12 at 10:30
    
I could not find no where [Nori] though (not in my library, nor online). –  Sasha Jan 26 '12 at 12:08

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