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Ramification theory for higher dimensional local fields.

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 $K$.

Item Type:Article
Keywords:Local fields, Ramification, Anabelian conjecture.
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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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