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Completion, Čech and Local Homology and Cohomology: Interactions Between Them (Springer Monographs in Mathematics) by Peter Schenzel; Anne-Marie Simon is a nonfiction available to read on EtoBox.

What is Completion, Čech and Local Homology and Cohomology: Interactions Between Them (Springer Monographs in Mathematics) about?

The aim of the present monograph is a thorough study of the adic-completion, its left derived functors and their relations to the local cohomology functors, as well as several completeness criteria, related questions and various dualities formulas. A basic construction is the Čech complex with respect to a system of elements and its free resolution. The study of its homology and cohomology will play a crucial role in order to understand left derived functors of completion and right derived functors of torsion. This is useful for the extension and refinement of results known for modules to unbounded complexes in the more general setting of not necessarily Noetherian rings. The book is divided into three parts. The first one is devoted to modules, where the adic-completion functor is presented in full details with generalizations of some previous completeness criteria for modules. Part II is devoted to the study of complexes. Part III is mainly concerned with duality, starting with those between completion and torsion and leading to new aspects of various dualizing complexes. The Appendix covers various additional and complementary aspects of the previous investigations and also prov

Who reads Completion, Čech and Local Homology and Cohomology: Interactions Between Them (Springer Monographs in Mathematics)?

Author

Peter Schenzel; Anne-Marie Simon

Publisher

Springer International Publishing

Published

2018

Language

EN

ISBN

9783030072070

Category

nonfiction

Subjects

Mathematics, Stem