An effective Arakelov-theoretic version of the hyperbolic isogeny theorem
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Publication:5360383
DOI10.1017/S0305004115000791zbMath1371.14027arXiv1511.07032MaRDI QIDQ5360383
Publication date: 28 September 2017
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.07032
Local ground fields in algebraic geometry (14G20) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)
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Cites Work
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- Universal covering spaces and fundamental groups in algebraic geometry as schemes
- Calculus on arithmetic surfaces
- Arithmetic Fuchsian groups with signature \((1;e)\)
- Finiteness theorems for abelian varieties over number fields.
- A characterization of arithmetic Fuchsian groups
- Lower bounds for discriminants of number fields. II
- Correspondences on hyperbolic curves
- Points of small height on the modular curves \(X_0(N) \)
- Bounding the sup-norm of automorphic forms
- Isogeny estimates for abelian varieties, and finiteness theorems
- Periods and minimal abelian subvarieties
- Bounds on Faltings's delta function through covers
- Self-intersection of the relative dualizing sheaf on modular curves \(X_{ 1 }(N)\)
- Polynomial bounds for Arakelov invariants of Belyi curves. With an appendix by Peter Bruin.
- Period theorem and minimal degrees of isogenies
- On zeta functions of quaternion algebras
- Arakelov invariants of Riemann surfaces
- Arithmetic $(1;e)$-curves and Belyĭ maps
- Computational Aspects of Modular Forms and Galois Representations
- Quantitative Riemann existence theorem over a number field
- Mapping stacks of topological stacks
- Uniformization of Deligne-Mumford curves
- Quaternion Orders, Quadratic Forms, and Shimura Curves
- Hauteur de Faltings de quotients de J o( N ), discriminants d'algebres de Hecke et congruences entre formes modulaires
- Enumeration of Totally Real Number Fields of Bounded Root Discriminant