On the anticyclotomic Iwasawa main conjecture for modular forms

Abstract

We generalize the work of Bertolini and Darmon on the anticyclotomic main conjecture for weight two forms to higher weight modular forms.

The hypothesis (CR+) (3-4) is revised

References in corpus (1)

• On anticyclotomic mu-invariants of modular forms

Cited by in corpus (13)

• A proof of Perrin-Riou's Heegner point main conjecture
• Ihara's lemma for Shimura curves over totally real fields via patching
• Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms -- Part II
• Anticyclotomic p-ordinary Iwasawa Theory of Elliptic Modular Forms
• An anticyclotomic Mazur-Tate conjecture for modular forms
• On the quantitative variation of congruence ideals and integral periods of modular forms
• Indivisibility of Heegner cycles over Shimura curves and Selmer groups
• Iwasawa theory of twists of elliptic modular forms over imaginary quadratic fields at inert primes
• On the non-vanishing of generalized Kato classes for elliptic curves of rank $2$
• On the Fitting ideals of anticyclotomic Selmer groups of elliptic curves with good ordinary reduction
• The Iwasawa Main Conjectures for ${\mathrm{GL}}_2$ and derivatives of $p$-adic $L$-functions
• Waldspurger formula over function fields
• Kolyvagin's Conjecture and patched Euler systems in anticyclotomic Iwasawa theory