Anticyclotomic main conjecture for modular forms and integral Perrin-Riou twists

DOI10.2969/aspm/08610537zbMath1471.11267OpenAlexW3125336655MaRDI QIDQ2042509

Kazuto Ota, Shin-ichi Kobayashi

Publication date: 20 July 2021

Full work available at URL: https://doi.org/10.2969/aspm/08610537

zbMATH Keywords

Iwasawa theoryelliptic modular formsgeneralized Heegner cycles

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23)

Related Items

Interpolation of generalized Heegner cycles in Coleman families ⋮ Asymptotic formula for Tate-Shafarevich groups of \(p\)-supersingular elliptic curves over anticyclotomic extensions ⋮ The vanishing of anticyclotomic \(\mu\)-invariants for non-ordinary modular forms ⋮ On the BDP Iwasawa main conjecture for modular forms ⋮ 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 ⋮ A \(p\)-adic interpolation of generalized Heegner cycles and integral Perrin-Riou twist. I ⋮ Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms. II ⋮ Big Heegner points and generalized Heegner cycles

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