collaborators

2 papers

math.NT2025

Critical Lambda-adic modular forms and bi-ordinary complexes

Francesc Castella, Carl Wang-Erickson

We produce a flat -module of -adic critical slope overconvergent modular forms, producing a Hida-type theory that interpolates such forms over -adically varying integer…

math.NT2025

An anticyclotomic Euler system of Hirzebruch--Zagier cycles I: Norm relations and -adic interpolation

Raúl Alonso, Francesc Castella, Óscar Rivero

We construct an anticyclotomic Euler system for the Asai Galois representation associated to -ordinary Hilbert modular forms over real quadratic fields. We also show that our Eu…