Elementary abelian conductor
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 26, Tome 423 (2014), pp. 126-131
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The paper is devoted to ramification theory for a class of complete discrete valuation fields that includes $2$-dimensional local fields of prime characteristic $p$. It is proved that any finite extension of such a field can be modified into an extension with zero ramification depth by means of an infinite elementary abelian base change.
@article{ZNSL_2014_423_a6,
author = {I. B. Zhukov},
title = {Elementary abelian conductor},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {126--131},
publisher = {mathdoc},
volume = {423},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_423_a6/}
}
I. B. Zhukov. Elementary abelian conductor. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 26, Tome 423 (2014), pp. 126-131. http://geodesic.mathdoc.fr/item/ZNSL_2014_423_a6/