Point counting for foliations over number fields
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Publication:3390109
DOI10.1017/fmp.2021.20zbMath1490.14037arXiv2009.00892OpenAlexW4214941092MaRDI QIDQ3390109
Publication date: 24 March 2022
Published in: Forum of Mathematics, Pi (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.00892
foliationsAndré-Oort conjecturePila-Wilkie theoremGalois orbitsimultaneous torsion points on square of elliptic curvesspecial points on Shimura varietiestorsion point on elliptic curvesWeierstrass polydiscs
Rational points (14G05) Heights (11G50) Modular and Shimura varieties (14G35) Model theory of ordered structures; o-minimality (03C64)
Related Items (3)
Torsion points on isogenous abelian varieties ⋮ Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture ⋮ Wilkie's conjecture for Pfaffian structures
Cites Work
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- Bounding the radii of balls meeting every connected component of semi-algebraic sets
- Rational values of the Riemann zeta function
- \(o\)-minimality and the André-Oort conjecture for \(\mathbb{C}^{n}\)
- Torsion points on families of squares of elliptic curves
- Strong minimality and the \(j\)-function
- Torsion points on families of simple abelian surfaces and Pell's equation over polynomial rings (with an appendix by E. V. Flynn)
- Multiplicity operators
- Multiplicities of Noetherian deformations
- Polynomial bounds for the oscillation of solutions of Fuchsian systems
- Weakly bounded height on modular curves
- On the number of zeros of Abelian integrals. A constructive solution of the infinitesimal Hilbert sixteenth problem
- Hyperbolic distribution problems and half-integral weight Maass forms
- On the difference of the Weil height and the Neron-Tate height
- Points of small height on elliptic curves
- The André-Oort conjecture for \(\mathcal A_g\)
- Faltings heights of abelian varieties with complex multiplication
- On the averaged Colmez conjecture
- Density of algebraic points on Noetherian varieties
- Diophantine approximations on definable sets
- Isogeny estimates for abelian varieties, and finiteness theorems
- Counting real zeros of analytic functions satisfying linear ordinary differential equations
- Some effective estimates for André-Oort in \(Y(1)^n\)
- On the algebraic points of a definable set
- Complex cellular structures
- Counting rational points and lower bounds for Galois orbits
- Wilkie's conjecture for restricted elementary functions
- Periods and minimal abelian subvarieties
- Torsion points on families of products of elliptic curves
- The rational points of a definable set
- The number of integral points on arcs and ovals
- Torsion points, Pell's equation, and integration in elementary terms
- Galois Theory, Coverings, and Riemann Surfaces
- Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
- Theta height and Faltings height
- Unlikely intersections in products of families of elliptic curves and the multiplicative group
- Relative Manin–Mumford in additive extensions
- Unlikely intersections in families of abelian varieties and the polynomial Pell equation
- Diophantine properties of sets definable in o-minimal structures
- The Pila–Wilkie theorem for subanalytic families: a complex analytic approach
- On the Zeta-Functions of Algebraic Number Fields
- Zero Counting and Invariant Sets of Differential Equations
- Linear relations in families of powers of elliptic curves
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