Tohoku Mathematical Journal

An elementary proof of Cohen-Gabber theorem in the equal characteristic $p>0$ case

Kazuhiko Kurano and Kazuma Shimomoto

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Abstract

The aim of this article is to give a new proof of Cohen-Gabber theorem in the equal characteristic $p>0$ case.

Article information

Source
Tohoku Math. J. (2), Volume 70, Number 3 (2018), 377-389.

Dates
First available in Project Euclid: 21 September 2018

Permanent link to this document
https://projecteuclid.org/euclid.tmj/1537495352

Digital Object Identifier
doi:10.2748/tmj/1537495352

Mathematical Reviews number (MathSciNet)
MR3856772

Zentralblatt MATH identifier
06996533

Subjects
Primary: 12F10: Separable extensions, Galois theory
Secondary: 13B40: Étale and flat extensions; Henselization; Artin approximation [See also 13J15, 14B12, 14B25] 13J10: Complete rings, completion [See also 13B35]

Keywords
coefficient field complete local ring differentials $p$-basis

Citation

Kurano, Kazuhiko; Shimomoto, Kazuma. An elementary proof of Cohen-Gabber theorem in the equal characteristic $p>0$ case. Tohoku Math. J. (2) 70 (2018), no. 3, 377--389. doi:10.2748/tmj/1537495352. https://projecteuclid.org/euclid.tmj/1537495352


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References

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