scientific article
From MaRDI portal
Publication:3864636
zbMath0428.14012MaRDI QIDQ3864636
Publication date: 1978
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
quaternion algebratotally real algebraic number fieldMumford uniformizationEichler-Selberg traceequation defining Shimura curves
Arithmetic ground fields for curves (14H25) Special algebraic curves and curves of low genus (14H45)
Related Items (30)
On the Sato-Tate conjecture for QM-curves of genus two ⋮ Explicit Connections Between Supersingular Isogeny Graphs and Bruhat–Tits Trees ⋮ The Shimura canonical model for the quaternion algebra of discriminant 6 on the Ihara-Kurihara conic ⋮ Equations of hyperelliptic Shimura curves ⋮ Algebraic points on Shimura curves of \(\Gamma_{0}(p)\)-type. II ⋮ Heun functions and diagonals of rational functions ⋮ Shimura curves as intersections of Humbert surfaces and defining equations of QM-curves of genus two ⋮ On component groups of Jacobians of quaternionic modular curves ⋮ Non-elliptic Shimura curves of genus one ⋮ Icosahedral invariants and Shimura curves ⋮ Algebraic points on Shimura curves of \(\varGamma _0(p)\)-type. III ⋮ \(\mathcal D\)-elliptic sheaves and odd Jacobians ⋮ Quotient Graphs and Amalgam Presentations for Unitary Groups Over Cyclotomic Rings ⋮ Rational points on Atkin-Lehner quotients of geometrically hyperelliptic Shimura curves ⋮ Canonical models of arithmetic \((1; e)\)-curves ⋮ Endomorphism rings of abelian surfaces and projective models of their moduli spaces ⋮ Fundamental domains for Shimura curves. ⋮ On a theorem of Bertolini-Darmon on the rationality of Stark-Heegner points over genus fields of real quadratic fields ⋮ A note on algebraic points on Shimura curves ⋮ On Jacquet-Langlands isogeny over function fields ⋮ Shimura curve quotients with odd Jacobians ⋮ A new interpretation of the Shimura curve with discriminant 6 in terms of Picard modular forms ⋮ Modular symbols for \(F_ q(T)\) ⋮ On QM-abelian surfaces with model of GL\(_{2}\)-type over \(\mathbb Q\) ⋮ From the Taniyama-Shimura conjecture to Fermat's last theorem ⋮ Automorphic forms and cohomology theories on Shimura curves of small discriminant ⋮ Geometry of an étale covering of the p-adic upper half plane ⋮ On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms ⋮ Unnamed Item ⋮ Local diophantine properties of Shimura curves
This page was built for publication: