On the anticyclotomic Iwasawa main conjecture for modular forms

TL;DR

This paper extends the anticyclotomic Iwasawa main conjecture from weight two modular forms to those of higher weight, broadening the scope of previous foundational work.

Contribution

It generalizes the anticyclotomic main conjecture for modular forms from weight two to higher weights, advancing the theoretical framework.

Findings

Generalization of the main conjecture to higher weights

New theoretical insights into modular forms of various weights

Potential implications for number theory and arithmetic geometry

Abstract

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