Iwasawa Theory of Elliptic Modular Forms Over Imaginary Quadratic Fields at Non-ordinary Primes

DOI10.1093/IMRN/RNZ117zbMath1497.11269arXiv1605.05310OpenAlexW2962732743WikidataQ127889967 ScholiaQ127889967MaRDI QIDQ5021200

Kâzım Büyükboduk, Antonio Lei

Publication date: 12 January 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05310

zbMATH Keywords

Selmer groupselliptic modular formsBeilinson-Flach elements

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Iwasawa theory (11R23)

Related Items (12)

Interpolation of generalized Heegner cycles in Coleman families ⋮ Mordell–Weil ranks and Tate–Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions ⋮ On analogues of Mazur-Tate type conjectures in the Rankin-Selberg setting ⋮ The vanishing of anticyclotomic \(\mu\)-invariants for non-ordinary modular forms ⋮ On the BDP Iwasawa main conjecture for modular forms ⋮ Anticyclotomic Iwasawa theory of abelian varieties of \(\mathrm{GL}_2\)-type at non-ordinary primes ⋮ A \(p\)-adic interpolation of generalized Heegner cycles and integral Perrin-Riou twist. I ⋮ Functional equation for \(p\)-adic Rankin-Selberg \(L\)-functions ⋮ Anticyclotomic main conjecture for modular forms and integral Perrin-Riou twists ⋮ CODIMENSION TWO CYCLES IN IWASAWA THEORY AND ELLIPTIC CURVES WITH SUPERSINGULAR REDUCTION ⋮ Iwasawa theory for \(\mathrm{GL}_2\times \mathrm{Res}_{K/\mathbb{Q}}\mathrm{GL}_1\) ⋮ Iwasawa theory of automorphic representations of \(\mathrm{GL}_{2n}\) at non-ordinary primes

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