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.
Abstract
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.
| Item Type: | Article |
|---|---|
| Keywords: | Local fields, Ramification filtration, Grothendieck Conjecture. |
| Full text: | Full text not available from this repository. |
| Publisher Web site: | http://jtnb.cedram.org/jtnb-bin/item?id=JTNB_2010__22_1_1_0 |
| Date accepted: | No date available |
| Date deposited: | No date available |
| Date of first online publication: | 2010 |
| Date first made open access: | No date available |
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