p-adic heights of Heegner points and Beilinson-Flach classes

DOI10.1112/jlms.12058zbMath1400.11138arXiv1509.02761OpenAlexW2964084719MaRDI QIDQ5357231

Francesc Castella

Publication date: 14 September 2017

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02761

zbMATH Keywords

elliptic curvesShimura curvesSelmer groupsHeegner points\(p\)-adic \(L\)-functionanticyclotomic extension

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23)

Related Items (17)

The Iwasawa main conjectures for \(\operatorname{GL}_2\) and derivatives of \(p\)-adic \(L\)-functions ⋮ The Birch and Swinnerton-Dyer Conjecture: A brief survey ⋮ The vanishing of anticyclotomic \(\mu\)-invariants for non-ordinary modular forms ⋮ Main conjectures for higher rank nearly ordinary families. I ⋮ On the Iwasawa invariants of BDP Selmer groups and BDP \(p\)-adic \(L\)-functions ⋮ Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms. II ⋮ A proof of Perrin-Riou's Heegner point main conjecture ⋮ Heegner point Kolyvagin system and Iwasawa main conjecture ⋮ Anticyclotomic \(p\)-ordinary Iwasawa theory of elliptic modular forms ⋮ Anticyclotomic main conjecture for modular forms and integral Perrin-Riou twists ⋮ \(p\)-converse to a theorem of Gross-Zagier, Kolyvagin and Rubin ⋮ The \(p\)-adic variation of the Gross-Kohnen-Zagier theorem ⋮ Anticyclotomic \(\mu \)-invariants of residually reducible Galois representations ⋮ On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes ⋮ On anticyclotomic variants of the \(p\)-adic Birch and Swinnerton-Dyer conjecture ⋮ \(p^{\infty}\)-Selmer groups and rational points on CM elliptic curves ⋮ Iwasawa theory for \(\mathrm{GL}_2\times \mathrm{Res}_{K/\mathbb{Q}}\mathrm{GL}_1\)

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