Reduction modulo P of Shimura curves

DOI10.14492/hokmj/1381758092zbMath0506.14021OpenAlexW2077021770MaRDI QIDQ1836703

Yasuo Morita

Publication date: 1981

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1381758092

zbMATH Keywords

algebraic groupquaternion algebracanonical modelreduction modulo pcongruence zeta-functionsgroup of discontinuous actionsShimura-curvestotally- real number field

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Arithmetic ground fields for curves (14H25) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Structure of modular groups and generalizations; arithmetic groups (11F06) Global ground fields in algebraic geometry (14G25) Totally real fields (11R80)

Related Items

Explicit Connections Between Supersingular Isogeny Graphs and Bruhat–Tits Trees ⋮ On some bounds for symmetric tensor rank of multiplication in finite fields ⋮ On congruence relations and equations of Shimura curves ⋮ Good reductions of Shimura varieties of Hodge type in arbitrary unramified mixed characteristic. Part I ⋮ \(p\)-adic equidistribution of CM points ⋮ Ihara's lemma for Shimura curves over totally real fields via patching ⋮ Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes ⋮ On Mumford's families of Abelian varieties ⋮ Ribet bimodules and the specialization of Heegner points ⋮ THE SHIMURA CURVE OF DISCRIMINANT 15 AND TOPOLOGICAL AUTOMORPHIC FORMS ⋮ Curves of every genus with many points. II: Asymptotically good families ⋮ Automorphic forms and cohomology theories on Shimura curves of small discriminant ⋮ Unnamed Item