ON THE NON-TRIVIALITY OF THE -ADIC ABEL–JACOBI IMAGE OF GENERALISED HEEGNER CYCLES MODULO , II: SHIMURA CURVES
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Publication:2978878
DOI10.1017/S147474801500016XzbMath1365.19003arXiv1504.02342MaRDI QIDQ2978878
Publication date: 2 May 2017
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.02342
(p)-adic theory, local fields (11F85) Arithmetic aspects of modular and Shimura varieties (11G18) Iwasawa theory (11R23) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)
Related Items (17)
The Iwasawa main conjectures for \(\operatorname{GL}_2\) and derivatives of \(p\)-adic \(L\)-functions ⋮ Power series expansions of modular forms and p-adic interpolation of the square roots of Rankin–Selberg special values ⋮ \(\mathfrak p\)-rigidity and Iwasawa \(\mu\)-invariants ⋮ Asymptotic formula for Tate-Shafarevich groups of \(p\)-supersingular elliptic curves over anticyclotomic extensions ⋮ On the Iwasawa invariants of BDP Selmer groups and BDP \(p\)-adic \(L\)-functions ⋮ A \(p\)-adic Waldspurger formula and the conjecture of Birch and Swinnerton-Dyer ⋮ Anticyclotomic Iwasawa theory of abelian varieties of \(\mathrm{GL}_2\)-type at non-ordinary primes ⋮ Quantitative non-vanishing of Dirichlet \(L\)-values modulo \(p\) ⋮ ON THE NON-TRIVIALITY OF THE -ADIC ABEL–JACOBI IMAGE OF GENERALISED HEEGNER CYCLES MODULO , II: SHIMURA CURVES ⋮ 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 ⋮ An \(l\neq p\)-interpolation of genuine \(p\)-adic \(L\)-functions ⋮ 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
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