Ramification Groups of Local Fields
Language: English
Published by Cambridge University Press, GB, 2026
- Hardcover
- New
Seller: Rarewaves.com USA, London, London, United KingdomRarewaves.com USA
AbeBooks seller since June 11, 2025
Condition: New
£ 194.01
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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 Galois representations, defined through ramification groups, has numerous geometric applications, notably the celebrated Grothendieck-Ogg-Shafarevich formula. A new proof of the Deligne-Kato formula is also provided; this result plays a pivotal role in the theory of characteristic cycles. With a foundational understanding of commutative rings and Galois theory, graduate students and researchers will be well-equipped to engage with this rich area of arithmetic geometry.
Seller Inventory # LU-9781009617536
- Title
- Ramification Groups of Local Fields
- Author
- Takeshi Saito
- Publisher
- Cambridge University Press, GB
- Publication year
- 2026
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 1009617532
- ISBN 13
- 9781009617536
- Item weight
- 872 grams
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Rarewaves.com USA
London, London, United Kingdom
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