# Ramification groups of local fields: with geometric applications, Vol. 1

By **Takeshi Saitō**

- ISBN-13: 9781009617567
- Publisher: Cambridge University Press
- Published: 1 Jan 2026
- Language: eng
- Categories: Local fields (Algebra), Galois theory, Valuation theory, Arithmetical algebraic geometry

## About this book

"This book develops the modern theory of upper ramification groups for local fields with imperfect residue fields, alongside classical results like the Hasse-Arf theorem. It introduces log monogenic extensions and provides new proofs of key formulas, offering essential tools for researchers in arithmetic geometry and Galois representation theory"-- Provided by publisher.

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