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| J. S. Milne | ||||
| BookSurge Publishing | ||||
| 2006 | ||||
| English | ||||
| 339 pages | ||||
| 1.52 MB | ||||
[tab] [content title="Description"] This book is designed for research mathematicians and focuses on the duality theorems that have gained significance in number theory and arithmetic geometry, notably in the proof of Fermat's Last Theorem. The content addresses duality theorems in Galois, étale, and flat cohomology for both local and global fields, as well as their corresponding rings of integers. It also explores topics such as cohomological dimension, finiteness, and Euler-Poincaré characteristics, making it a valuable reference for these subjects. Reviews of the first edition highlight its comprehensive approach. Mathematical Reviews, by Gerd Faltings, notes that it serves as an excellent general reference for the discussed topics. Zentralblatt MATH, through L. Badescu, points out that much of the foundational work by Tate, Artin, Verdier, and others was never fully published; thus, this book aims to provide a self-contained and systematic treatment of these developments. [/content] [content title="Content"] [/content] [content title="Author(s)"] [/content] [/tab]
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