Completion, Čech and Local Homology and Cohomology Interactions Between Them /

• Main Authors: Schenzel, Peter (Author, http://id.loc.gov/vocabulary/relators/aut), Simon, Anne-Marie (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Springer Monographs in Mathematics,
• Subjects: Commutative algebra.; Commutative rings.; Commutative Rings and Algebras.

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 resp...