On the local divisibility of Heegner points

DOI10.1007/978-1-4614-1260-1_11zbMath1276.11091OpenAlexW98402293MaRDI QIDQ2914170

Gross, Benedict H., James Parson

Publication date: 25 September 2012

Published in: Number Theory, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-1260-1_11

zbMATH Keywords

abelian varietieselliptic curves over local and global fields

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Elliptic curves over local fields (11G07)

Related Items (13)

Hirzebruch-Zagier cycles and twisted triple product Selmer groups ⋮ Heegner points and Jochnowitz congruences on Shimura curves ⋮ The average size of the 3‐isogeny Selmer groups of elliptic curves y2=x3+k ⋮ Level raising mod 2 and arbitrary 2-Selmer ranks ⋮ The arithmetic theory of local constants for abelian varieties ⋮ GOLDFELD’S CONJECTURE AND CONGRUENCES BETWEEN HEEGNER POINTS ⋮ A classical family of elliptic curves having rank one and the \(2\)-primary part of their Tate-Shafarevich group non-trivial ⋮ Congruences and rationality of Stark-Heegner points ⋮ 2-Selmer groups, 2-class groups and rational points on elliptic curves ⋮ On the Bloch-Kato conjecture for Hilbert modular forms ⋮ On the non-triviality of the $p$-adic Abel–Jacobi image of generalised Heegner cycles modulo $p$, I: Modular curves ⋮ On the vanishing of Selmer groups for elliptic curves over ring class fields ⋮ Congruences Between Modular Forms and the Birch and Swinnerton-Dyer Conjecture

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