Equality of two non-logarithmic ramification filtrations of abelianized Galois group in positive characteristic (Q1677373)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equality of two non-logarithmic ramification filtrations of abelianized Galois group in positive characteristic |
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Equality of two non-logarithmic ramification filtrations of abelianized Galois group in positive characteristic (English)
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21 November 2017
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Summary: 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.
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local field
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ramification filtration
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characteristic form
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Witt vector
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