Victor Abrashkin
Ramification theory for higher dimensional local fields
Abrashkin, Victor
Authors
Abstract
The paper contains a construction of ramification theory for higher dimensional local fields $K$ provided with additional structure given by an increasing sequence of their "subfields of i-dimensional constants", where $0\le i\le n$ and $n$ is the dimension of $K$. It is also announced that a local analogue of the grothendieck Conjecture still holds: all automorphisms of the absolute Galois group of $K$, which are compatible with ramification filtration and satisfy some natural topological conditions appear as conjugations via some automorphisms of the algebraic closure of $K$.
Citation
Abrashkin, V. (2002). Ramification theory for higher dimensional local fields
Journal Article Type | Article |
---|---|
Publication Date | 2002 |
Deposit Date | May 28, 2008 |
Publicly Available Date | Mar 29, 2024 |
Journal | Contemporary mathematics. |
Peer Reviewed | Peer Reviewed |
Volume | 300 |
Pages | 1-16 |
Keywords | Local fields, Ramification, Anabelian conjecture. |
Publisher URL | http://www.ams.org/bookstore?fn=20&arg1=conmseries&item=CONM-300 |
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Copyright Statement
First published in Contemporary mathematics in volume 300, 2002, published by the American Mathematical Society.
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