Non-triviality of generalised Heegner cycles over anticyclotomic towers: a survey

DOI10.1142/9789814719230_0008zbMath1417.11128OpenAlexW2487286525MaRDI QIDQ2829861

Ashay A. Burungale

Publication date: 8 November 2016

Published in: p-Adic Aspects of Modular Forms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789814719230_0008

zbMATH Keywords

\(p\)-adic Abel-Jacobi mapHeegner cyclesanticyclotomic towers

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Congruences for modular and (p)-adic modular forms (11F33) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23)

Related Items (7)

The Birch and Swinnerton-Dyer Conjecture: A brief survey ⋮ ON THE NON-TRIVIALITY OF THE -ADIC ABEL–JACOBI IMAGE OF GENERALISED HEEGNER CYCLES MODULO , II: SHIMURA CURVES ⋮ On the non-vanishing of \(p\)-adic heights on CM abelian varieties, and the arithmetic of Katz \(p\)-adic \(L\)-functions ⋮ Horizontal non-vanishing of Heegner points and toric periods ⋮ On the non-triviality of the $p$-adic Abel–Jacobi image of generalised Heegner cycles modulo $p$, I: Modular curves ⋮ \(p\)-converse to a theorem of Gross-Zagier, Kolyvagin and Rubin ⋮ A note on rank one quadratic twists of elliptic curves and the non-degeneracy of 𝑝-adic regulators at Eisenstein primes

This page was built for publication: Non-triviality of generalised Heegner cycles over anticyclotomic towers: a survey