Equality of Two Non-Logarithmic Ramification Filtrations of Abelianized Galois Group in Positive Characteristic
Yuri YatagawaFakultät für Mathematik, Universität Regensburg, Universitätsstraße 31, 93040 Regensburg, Germany
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.
Cite this article
Yuri Yatagawa, Equality of Two Non-Logarithmic Ramification Filtrations of Abelianized Galois Group in Positive Characteristic. Doc. Math. 22 (2017), pp. 917–952DOI 10.4171/DM/582