Abrashkin, V. (2002) 'Ramification theory for higher dimensional local fields.', Contemporary mathematics., 300 . pp. 1-16.
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 $K$.
|Keywords:||Local fields, Ramification, Anabelian conjecture.|
|Full text:||(VoR) Version of Record|
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|Publisher Web site:||http://www.ams.org/bookstore?fn=20&arg1=conmseries&item=CONM-300|
|Publisher statement:||First published in Contemporary mathematics in volume 300, 2002, published by the American Mathematical Society.|
|Record Created:||28 May 2008|
|Last Modified:||09 Sep 2011 10:23|
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