Kummer-Artin-Schreier theory and applications

DOI10.5802/jtnb.140zbMath0920.14023OpenAlexW2333681431MaRDI QIDQ1909873

Noriyuki Suwa, Tsutomu Sekiguchi

Publication date: 24 March 1996

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1995__7_1_177_0

zbMATH Keywords

group schemesarithmetic schemesKummer-Artin-Schreier theorynonramified cyclic extensions of a local ring

Mathematics Subject Classification ID

Class field theory (11R37) Ramification and extension theory (11S15) Group schemes (14L15)

Related Items

Degeneration of the Kummer sequence in characteristic \(p>0\), The relative canonical ideal of the Kummer-Artin Schreier-Witt family of curves, On the description of \(\mathbb Z/p^2\mathbb Z\)-torsors by the Kummer-Artin-Schreier-Witt theory, Twisted Kummer and Kummer-Artin-Schreier theories, Models of \(\mu _{p^{2},K}\) over a discrete valuation ring, Unnamed Item, Automorphisms of hyperelliptic modular curves X0(N) in positive characteristic, Convergence Polygons for Connections on Nonarchimedean Curves

Cites Work

• A unified Kummer-Artin-Schreier sequence
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
• On the deformation of Artin-Schreier to Kummer
• Zur Struktur der l-Klassengruppe galoisscher Zahlkörper.
• The Group of Unramified Kummer Extensions of Prime Degree
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