On congruence relations and equations of Shimura curves

DOI10.3836/tjm/1502179308zbMath1436.11065OpenAlexW3032990073MaRDI QIDQ2186063

Akira Kurihara

Publication date: 9 June 2020

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1591063358

zbMATH Keywords

Mumford curveShimura curvecongruence relation

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Uses Software

• LISP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Arithmetic Fuchsian groups of genus zero.
• Coverings of p-adic symmetric regions
• On the real points of an arithmetic quotient of a bounded symmetric domain
• Reduction modulo P of Shimura curves
• Lifting curves over finite fields together with the characteristic correspondence Pi+Pi'
• Construction of class fields and zeta functions of algebraic curves
• On canonical models of arithmetic quotients of bounded symmetric domains. II
• Shimura curves of genus at most two
• On maximal orders of division quaternion algebras over the rational number field with certain optimal embeddings
• UNIFORMIZATION OF ALGEBRAIC CURVES BY DISCRETE ARITHMETIC SUBGROUPS OF $ PGL_2(k_w)$ WITH COMPACT QUOTIENTS
• ON p-ADIC POINCARÉ SERIES AND SHIMURA CURVES

This page was built for publication: On congruence relations and equations of Shimura curves