Arithmetic $(1;e)$-curves and Belyĭ maps
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Publication:2894536
DOI10.1090/S0025-5718-2012-02560-9zbMath1262.14035MaRDI QIDQ2894536
Publication date: 29 June 2012
Published in: Mathematics of Computation (Search for Journal in Brave)
Computational aspects of algebraic curves (14Q05) Modular and Shimura varieties (14G35) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Dessins d'enfants theory (14H57)
Related Items (8)
Explicit Algebraic Coverings of a Pointed Torus ⋮ Heun equations coming from geometry ⋮ On some bounds for symmetric tensor rank of multiplication in finite fields ⋮ An effective Arakelov-theoretic version of the hyperbolic isogeny theorem ⋮ Small isospectral and nonisometric orbifolds of dimension 2 and 3 ⋮ Schwarzian differential equations and Hecke eigenforms on Shimura curves ⋮ Numerical calculation of three-point branched covers of the projective line ⋮ Canonical models of arithmetic (1;∞)-curves
Cites Work
- Non-elliptic Shimura curves of genus one
- Arithmetic Fuchsian groups with signature \((1;e)\)
- Arithmétique des algèbres de quaternions
- A characterization of arithmetic Fuchsian groups
- Computation and rationality of Belyi functions in genus zero
- Fuchsian triangle groups and Grothendieck dessins. Variations on a theme of Belyi
- Lamé equations with algebraic solutions.
- Triangle Fuchsian differential equations with apparent singularities
- Heun equations coming from geometry
- Canonical models of arithmetic \((1; e)\)-curves
- On the algebraic curves uniformized by arithmetical automorphic functions
- On canonical models of arithmetic quotients of bounded symmetric domains
- Shimura curves of genus at most two
- Zur Zahlentheorie der Quaternionen-Algebren.
- Uniformizing functions for certain Shimura curves, in the case D=6
- Two-generator arithmetic Fuchsian groups
- Subgroups of Fuchsian Groups and Finite Permutation Groups
- Algorithmic Number Theory
- Algorithmic Number Theory
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