Heegner modules and elliptic curves

DOI10.1007/b98488zbMath1146.11029OpenAlexW630164284MaRDI QIDQ1889982

Yanyan Li

Publication date: 14 December 2004

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/b98488

zbMATH Keywords

Drinfeld modulesHeegner pointsBruhat-Tits buildingsGalois modulesTate conjectureelliptic curves over global fieldsHeegner modulesresearch monograph (number theory)

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Elliptic curves over global fields (11G05) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Modular forms associated to Drinfel'd modules (11F52) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (8)

Birch’s lemma over global function fields ⋮ Effective equidistribution and the Sato-Tate law for families of elliptic curves ⋮ Structure of Tate-Shafarevich groups of elliptic curves over global function fields ⋮ On ring class eigenspaces of Mordell-Weil groups of elliptic curves over global function fields ⋮ Towards an `average' version of the Birch and Swinnerton-Dyer conjecture ⋮ CONTROL THEOREMS FOR ELLIPTIC CURVES OVER FUNCTION FIELDS ⋮ Torsion points on elliptic curves over function fields and a theorem of Igusa ⋮ Difference of a hauptmodul for \(\Gamma_0 (N)\) and certain Gross-Zagier type CM value formulas

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