Completion, ¿ech and Local Homology and Cohomology
Simon, Anne-Marie / Schenzel, Peter![Completion, ¿ech and Local Homology and Cohomology](https://support.digitalhusky.com/media/annotations/sorted/325/32580100/CHSBZCOP0332580100.jpg)
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 Cech 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 d...