Geodesic
Equality of Two Non-Logarithmic Ramification Filtrations of Abelianized Galois Group in Positive Characteristic
Documenta mathematica, Tome 22 (2017), pp. 917-952
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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.
DOI : 10.4171/dm/582
Classification : 11S15, 14G22
Mots-clés : Witt vector, local field, ramification filtration, characteristic form 
@article{10_4171_dm_582,
     author = {Yuri Yatagawa},
     title = {Equality of {Two} {Non-Logarithmic} {Ramification} {Filtrations} of {Abelianized} {Galois} {Group} in {Positive} {Characteristic}},
     journal = {Documenta mathematica},
     pages = {917--952},
     year = {2017},
     volume = {22},
     doi = {10.4171/dm/582},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/582/}
}
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Yuri Yatagawa. Equality of Two Non-Logarithmic Ramification Filtrations of Abelianized Galois Group in Positive Characteristic. Documenta mathematica, Tome 22 (2017), pp. 917-952. doi: 10.4171/dm/582

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