Diophantine geometry of the torsion of a Drinfeld module
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Publication:1867417
DOI10.1006/jnth.2001.2751zbMath1055.11037OpenAlexW1994588630MaRDI QIDQ1867417
Publication date: 2 April 2003
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/1584068d8da0daa9cecc5996b441d3cef58e66df
Related Items (14)
Some examples toward a Manin-Mumford conjecture for abelian uniformizable \(T\)-modules ⋮ Equidistribution for torsion points of a Drinfeld module ⋮ Unlikely intersections for curves in products of Carlitz modules ⋮ The Tate-Voloch conjecture for Drinfeld modules ⋮ Collision of orbits for a one-parameter family of Drinfeld modules ⋮ Equidistribution and integral points for Drinfeld modules ⋮ Siegel's theorem for Drinfeld modules ⋮ Unstable structures definable in o-minimal theories ⋮ Common factors and torsion in positive characteristic ⋮ Zsigmondy theorem for arithmetic dynamics induced by a drinfeld module ⋮ Order of torsion for reduction of linearly independent points for a family of Drinfeld modules ⋮ A variant of Siegel's theorem for Drinfeld modules ⋮ \(T\)-modules and Pila-Wilkie estimates ⋮ Zariski dense orbits for endomorphisms of a power of the additive group scheme defined over finite fields
Cites Work
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- Difference algebraic subgroups of commutative algebraic groups over finite fields
- MODEL THEORY OF DIFFERENCE FIELDS, II: PERIODIC IDEALS AND THE TRICHOTOMY IN ALL CHARACTERISTICS
- Model theory of difference fields
- p-adic distance from torsion points of semi-abelian varieties
- Sous–variétés algébriques de variétés semi–abéliennes sur un corps fini
- The Manin-Mumford conjecture and the model theory of difference fields
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