Independence of CM points in elliptic curves
Copyright policy )Independence of CM points in elliptic curves
We prove a result which describes, for each n \geq 1 , all linear dependencies among n images in a given elliptic curve of special points in a given modular or Shimura curve under a given parameterization (or correspondence). Our result unifies and improves in certain aspects previous work of Rosen–Silverman–Kühne and Buium–Poonen.
- University of Oxford United Kingdom
- University of Toronto Canada
Mathematics - Number Theory, Mathematics - Logic, Modular and Shimura varieties, Heegner point, Mathematics - Algebraic Geometry, Elliptic curves over global fields, Zilber-Pink conjecture, FOS: Mathematics, Number Theory (math.NT), Arithmetic aspects of modular and Shimura varieties, unlikely intersection, Logic (math.LO), Algebraic Geometry (math.AG), 11G18, Model theory of ordered structures; o-minimality
Mathematics - Number Theory, Mathematics - Logic, Modular and Shimura varieties, Heegner point, Mathematics - Algebraic Geometry, Elliptic curves over global fields, Zilber-Pink conjecture, FOS: Mathematics, Number Theory (math.NT), Arithmetic aspects of modular and Shimura varieties, unlikely intersection, Logic (math.LO), Algebraic Geometry (math.AG), 11G18, Model theory of ordered structures; o-minimality
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