Torsion points on isogenous abelian varieties
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Publication:5094228
DOI10.1112/S0010437X22007400OpenAlexW3103081085MaRDI QIDQ5094228
Publication date: 2 August 2022
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.05815
Elliptic curves over global fields (11G05) Heights (11G50) Isogeny (14K02) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Subvarieties of abelian varieties (14K12)
Cites Work
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- Families of abelian varieties with many isogenous fibres
- Estimating isogenies on elliptic curves
- Unlikely intersections with isogeny orbits in a product of elliptic schemes
- Diophantine approximation on abelian varieties
- Bounds for Serre's open image theorem for elliptic curves over number fields
- Rational points in periodic analytic sets and the Manin-Mumford conjecture
- Courbes sur une variété abélienne et points de torsion
- Autour d'une conjecture de Serge Lang. (Around a conjecture by Serge Lang)
- Fields of definition for homomorphisms of abelian varieties
- Towards the André-Oort conjecture for mixed Shimura varieties: the Ax-Lindemann theorem and lower bounds for Galois orbits of special points
- Density of algebraic points on Noetherian varieties
- Isogeny estimates for abelian varieties, and finiteness theorems
- On alternative heights. III
- Unlikely intersections between isogeny orbits and curves
- Uniformity in Mordell-Lang for curves
- Uniform Manin-Mumford for a family of genus 2 curves
- Degree of definition of endomorphisms of an abelian variety
- Torsion points and Galois representations on CM elliptic curves
- Periods and minimal abelian subvarieties
- Bicyclotomic polynomials and impossible intersections
- Period theorem and minimal degrees of isogenies
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
- Division points on curves
- An introduction to the geometry of numbers.
- Éléments de géométrie algébrique. I: Le langage des schémas. II: Étude globale élémentaire de quelques classe de morphismes. III: Étude cohomologique des faisceaux cohérents (première partie)
- Approximate formulas for some functions of prime numbers
- Torsion points, Pell's equation, and integration in elementary terms
- Heights of varieties in multiprojective spaces and arithmetic Nullstellensatze
- Special points on fibered powers of elliptic surfaces
- Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
- Algebraic Groups
- Rational Points on Varieties
- SPECIAL POINT PROBLEMS WITH ELLIPTIC MODULAR SURFACES
- A Combination of the Conjectures of Mordell-Lang and André-Oort
- Point counting for foliations over number fields
- Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n
- Geometric Invariant Theory
- A special point problem of André-Pink-Zannier in the universal family of abelian varieties
- Modular invariants and isogenies
- Logarithmes des points rationnels des variétés abéliennes
- Galois representations attached to abelian varieties of CM type
- Conjectures uniformes sur les variétés abéliennes
- Effective Kummer Theory for Elliptic Curves
- On the Zilber-Pink conjecture for complex abelian varieties
- Minorations des hauteurs normalisees des sous-varietes des puissances des courbes elliptiques
- Isogeny orbits in a family of abelian varieties
- Exponential diophantine equations
- The Manin-Mumford conjecture and the model theory of difference fields
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