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Class numbers of multinorm-one tori.
- Source :
-
Journal of Number Theory . May2024, Vol. 258, p94-121. 28p. - Publication Year :
- 2024
-
Abstract
- We present a formula for the class number of a multinorm one torus T L / k associated to any étale algebra L over a global field k. This is deduced from a formula for analogues of invariants introduced by T. Ono, which are interpreted as a generalization of Gauss genus theory. This paper includes the variants of Ono's invariant for arbitrary S -ideal class numbers and the narrow version, generalizing results of Katayama, Morishita, Ono and Sasaki. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*GENERALIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 258
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 175242668
- Full Text :
- https://doi.org/10.1016/j.jnt.2023.11.013