Unlikely intersections of curves with algebraic subgroups in semiabelian varieties
From MaRDI portal
Publication:2678709
DOI10.1007/s00029-022-00823-wOpenAlexW3197750045MaRDI QIDQ2678709
Publication date: 24 January 2023
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.12405
Abelian varieties of dimension (> 1) (11G10) Heights (11G50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Model theory of ordered structures; o-minimality (03C64) Abelian varieties and schemes (14K99)
Related Items (2)
An overview on problems of unlikely intersections in families of abelian varieties ⋮ Greatest common divisor results on semiabelian varieties and a conjecture of Silverman
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Polarization and isogenies
- Torsion points on families of simple abelian surfaces and Pell's equation over polynomial rings (with an appendix by E. V. Flynn)
- Algebraic geometry and analytic geometry
- Lectures on results on Bezout's theorem. Notes by D. P. Patil
- Generalized Jacobians and Pellian polynomials
- Algebraic curves and multiplicative equations.
- Intersection of curves and of subgroups and lower bound problems for the height in CM abelian varieties
- A note on Maurin's theorem
- The intersection of a curve with a union of translated codimension-two subgroups in a power of an elliptic curve
- The theory of the exponential differential equations of semiabelian varieties
- Courbes sur une variété abélienne et points de torsion
- Finiteness theorems for abelian varieties over number fields.
- Autour d'une conjecture de Serge Lang. (Around a conjecture by Serge Lang)
- Algebraische Punkte auf analytischen Untergruppen algebraischer Gruppen. (Algebraic points on analytic subgroups of algebraic groups)
- On the real exponential field with restricted analytic functions
- Division points on semi-abelian varieties
- Minimal heights and polarizations on group varieties
- Integral points on subvarieties of semiabelian varieties. I
- Lower bound for the essential minimum on abelian varieties
- Points of small height on semiabelian varieties
- The rational points of a definable set
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
- Commutative group schemes
- Measures of linear independence of logarithms on a commutative algebraic group
- Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
- O-minimality and certain atypical intersections
- EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE
- Height Estimates for Equidimensional Dominant Rational Maps
- Intersecting curves and algebraic subgroups: Conjectures and more results
- A Combination of the Conjectures of Mordell-Lang and André-Oort
- Petits points et multiplication complexe
- On unlikely intersections of complex varieties with tori
- On the Bounded Height Conjecture
- Pell's equation in polynomials and additive extensions
- Logarithmes des points rationnels des variétés abéliennes
- Relations de d\'ependance et intersections exceptionnelles (Dependence relations and exceptional intersections)
- Multiplicative and Linear Dependence in Finite Fields and on Elliptic Curves Modulo Primes
- On the Zilber-Pink conjecture for complex abelian varieties
- Unlikely intersections in families of abelian varieties and the polynomial Pell equation
- Anomalous Subvarieties—Structure Theorems and Applications
- Inégalité de Vojta généralisée
- Some Topics in Differential Algebraic Geometry I: Analytic Subgroups of Algebraic Groups
- The bounded height conjecture for semiabelian varieties
- Exponential diophantine equations
This page was built for publication: Unlikely intersections of curves with algebraic subgroups in semiabelian varieties
