Abstract

We define two decreasing filtrations by ramification groups on the absolute Galois group of a complete discrete valuation field whose residue field may not be perfect. In the classical case where the residue field is perfect, we recover the classical upper numbering filtration. The definition uses rigid geometry and log-structures. We also establish some of their properties.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 879-920
Launched on MUSE
2002-10-01
Open Access
No
Archive Status
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