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

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 respe...

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Hlavní autor: Schenzel, Peter (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Springer Monographs in Mathematics,
Témata:
Commutative algebra.
Commutative rings.
ISBN:9783319965178
ISSN:1439-7382
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Obsah:
  • Part I: Modules,- 1. Preliminaries and auxiliary results
  • 2. Adic topology and completion
  • 3. Ext-Tor vanishing and completeness criteria
  • PartII: Complexes
  • 4. Homological Preliminaries
  • 5. Koszul complexes, depth and codepth
  • 6. Čech complexes, Čech homology and cohomology
  • 7. Local cohomology and local homology
  • 8. The formal power series Koszul complex
  • 9. Complements and Applications
  • Part III: Duality
  • 10. Čech and local duality
  • 11. Dualizing complexes
  • 12. Local duality with dualizing complexes and other dualities
  • Appendix
  • References
  • Notation
  • Subject Index.

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