Open Access
December 2019 Algebraic extensions attached to algebraic tori of relative norm
Masanari Kida
Author Affiliations +
SUT J. Math. 55(2): 95-108 (December 2019). DOI: 10.55937/sut/1577359414

Abstract

We prove a Kummer-type duality theorem over certain fields without roots of unity by using algebraic tori of relative norm.

Funding Statement

This research is supported in part by Grant-in-Aid for Scientific Research (C) (No. 24540011), Ministry of Education, Science, Sports and Culture, Japan.

Acknowledgments

I would like to give sincere thanks to Professor Noriyuki Suwa whose comments and suggestions simplified and clarified the contents of this paper.

Citation

Download Citation

Masanari Kida. "Algebraic extensions attached to algebraic tori of relative norm." SUT J. Math. 55 (2) 95 - 108, December 2019. https://doi.org/10.55937/sut/1577359414

Information

Received: 10 March 2019; Published: December 2019
First available in Project Euclid: 8 June 2022

Digital Object Identifier: 10.55937/sut/1577359414

Subjects:
Primary: 11R32 , 12F10

Keywords: algebraic torus , cyclic extension , Kummer theory

Rights: Copyright © 2019 Tokyo University of Science

Vol.55 • No. 2 • December 2019
Back to Top