Geodesic
Equality of Two Non-Logarithmic Ramification Filtrations of Abelianized Galois Group in Positive Characteristic
Documenta mathematica, Tome 22 (2017), pp. 917-952.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We prove the equality of two non-logarithmic ramification filtrations defined by Matsuda and Abbes-Saito of the abelianized absolute Galois group of a complete discrete valuation field in positive characteristic. We compute the refined Swan conductor and the characteristic form of a character of the fundamental group of a smooth separated scheme over a perfect field of positive characteristic by using sheaves of Witt vectors.
Classification : 11S15, 14G22
Keywords: local field, ramification filtration, characteristic form, Witt vector 
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     author = {Yatagawa, Yuri},
     title = {Equality of {Two} {Non-Logarithmic} {Ramification} {Filtrations} of {Abelianized} {Galois} {Group} in {Positive} {Characteristic}},
     journal = {Documenta mathematica},
     pages = {917--952},
     publisher = {mathdoc},
     volume = {22},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a27/}
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Yatagawa, Yuri. Equality of Two Non-Logarithmic Ramification Filtrations of Abelianized Galois Group in Positive Characteristic. Documenta mathematica, Tome 22 (2017), pp. 917-952. http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a27/