Purely inseparable extensions and ramification filtrations
type: Item
instance of: scholarly article
title: Purely inseparable extensions and ramification filtrations
zbMATH Open document ID: 1464.11123
author: H. Y. Hu
publication date: 2021-02-24T00:00:00Z
full work available at URL: https://arxiv.org/abs/1804.08115
review text: In this article, the authors investigate the shift of Abbes and Saito's ramification filtrations of the absolute Galois group of a complete discrete valuation field of positive characteristic under a purely inseparable extension. They also study a functoriality property for characteristic forms. This article has two parts. The first part is sections 2--4. After preliminaries on fields, the authors review Abbes and Saito's ramification filtrations in section 3 and they prove a related Theorem section 4. The second part is sections 5--7. The authors introduce the geometric notation in section 5. In section 6, they recall the geometric ramification and characteristic forms for etale covers and prove the functoriality of characteristic forms. At last, they apply a functoriality property to fields.
reviewed by: Mouad Moutaoukil
Mathematics Subject Classification ID: 11S15
Mathematics Subject Classification ID: 14F20
zbMATH DE Number: 7314976
zbMATH Keywords: Abbes and Saito's ramification filtration
zbMATH Keywords: purely inseparable extension
zbMATH Keywords: characteristic form
MaRDI profile type: Publication
OpenAlex ID: W2967663229
arXiv ID: 1804.08115
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DOI: 10.1007/S10114-019-8175-1
published in: Acta Mathematica Sinica, English Series
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description: scientific article