## Tsukuba Journal of Mathematics

### A small remark on the filtered $\varphi$-module of Fermat varieties and Stickelberger's theorem

Go Yamashita

#### Abstract

We show that the weakly admissibility of the filtered $\varphi$-module with coefficients of Fermat varieties in the sense of Fontaine essentially expresses Stickelberger's theorem in Iwasawa theory. In particular, it gives us a simple re-proof of the weakly admissibility of it.

#### Article information

Source
Tsukuba J. Math., Volume 40, Number 1 (2016), 119-124.

Dates
Revised: 13 May 2016
First available in Project Euclid: 24 September 2016

https://projecteuclid.org/euclid.tkbjm/1474747490

Digital Object Identifier
doi:10.21099/tkbjm/1474747490

Mathematical Reviews number (MathSciNet)
MR3550935

Zentralblatt MATH identifier
06642044

#### Citation

Yamashita, Go. A small remark on the filtered $\varphi$-module of Fermat varieties and Stickelberger's theorem. Tsukuba J. Math. 40 (2016), no. 1, 119--124. doi:10.21099/tkbjm/1474747490. https://projecteuclid.org/euclid.tkbjm/1474747490