Ramification Groups of Local Fields
with Geometric Applications
$518.66
- Hardcover
478 pages
- Release Date
30 June 2026
Summary
Ramification groups of local fields are essential tools for studying boundary behaviour in geometric objects and the degeneration of Galois representations. This book presents a comprehensive development of the recently established theory of upper ramification groups of local fields with imperfect residue fields, starting from the foundations. It also revisits classical theory, including the Hasse–Arf theorem, and offers an optimal generalisation via log monogenic extensions. The conductor of…
Book Details
| ISBN-13: | 9781009617536 |
|---|---|
| ISBN-10: | 1009617532 |
| Author: | Takeshi Saito |
| Publisher: | Cambridge University Press |
| Imprint: | Cambridge University Press |
| Format: | Hardcover |
| Number of Pages: | 478 |
| Release Date: | 30 June 2026 |
| Weight: | 0g |
| Series: | New Mathematical Monographs |
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About The Author
Takeshi Saito
Takeshi Saito is a Professor of Mathematics at the School of Mathematical Sciences, the University of Tokyo, specializing in arithmetic geometry. He is the recipient of the Algebra Prize of the Mathematical Society of Japan (1998) and the Spring Prize of the Mathematical Society of Japan (2001). He is also the Israel Gelfand Chair in Mathematics at IHES (2024–2026).
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