Greenlees-May duality in a nutshell

This expository article delves deep into Greenlees-May Duality which is widely thought of as a far-reaching generalization of Grothendieck's Local Duality. Despite its focal role in the theory of derive local homology and cohomology, in the literature this theorem did not get the treatment it d...

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Bibliographic Details
Main Author: Hossein Faridian
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2019-03-01
Series:Surveys in Mathematics and its Applications
Subjects:
Online Access:http://www.utgjiu.ro/math/sma/v14/p14_02.pdf
Description
Summary:This expository article delves deep into Greenlees-May Duality which is widely thought of as a far-reaching generalization of Grothendieck's Local Duality. Despite its focal role in the theory of derive local homology and cohomology, in the literature this theorem did not get the treatment it deserves, as indeed its proof is a tangled web in a series of scattered papers. By carefully scrutinizing the requisite tools, we present a clear-cut well-documented proof of this theorem for the sake of reference.
ISSN:1843-7265
1842-6298