Translator Disclaimer
VOL. 30 | 2001 Hecke Module Structure of Quaternions

Abstract

The arithmetic of quaternions is recalled from a constructive point of view. A Hecke module is introduced, defined as a free abelian group on right ideal classes of a quaternion order, together with a natural action of Hecke operators. An equivalent construction in terms of Shimura curves is then introduced, and the quaternion construction is applied to the analysis of specific modular and Shimura curves.

Information

Published: 1 January 2001
First available in Project Euclid: 13 September 2018

zbMATH: 1040.11044
MathSciNet: MR1846458

Digital Object Identifier: 10.2969/aspm/03010177

Rights: Copyright © 2001 Mathematical Society of Japan

PROCEEDINGS ARTICLE
19 PAGES


SHARE
Back to Top