Abrashkin, Victor (2010) 'Modified proof of a local analogue of the Grothendieck Conjecture.', Journal de theorie des nombres de Bordeaux., 22 (1). pp. 1-50.
A local analogue of the Grothendieck Conjecture is an equivalence of the category of complete discrete valuation fields K with finite residue fields of characteristic p and the category of their Galois groups together with their ramification filtration. The case of field of characteristic 0 was considered earlier by Mochizuki, the the author proved it by differennt method if p>2, but the characteristic of K is not necessarily 0. This paper represents a modified approach, which covers also the case p=2.
|Keywords:||Local fields, Ramification filtration, Grothendieck Conjecture.|
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|Publisher Web site:||http://jtnb.cedram.org/jtnb-bin/item?id=JTNB_2010__22_1_1_0|
|Record Created:||21 Feb 2011 16:20|
|Last Modified:||22 Feb 2011 09:24|
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