A formal model of Coleman families and applications to Iwasawa invariants

Abstract

For a given Coleman family of modular forms, we construct a formal modeland prove the existence of a family of Galois representations associated to the Colemanfamily. As an application, we study the variations of Iwasawa $\lambda$- and $\mu$-invariants of dualfine (strict) Selmer groups over the cyclotomic Zp-extension of Q in Coleman families ofmodular forms. This generalizes an earlier work of Jha and Sujatha for Hida families.

arXiv admin note: text overlap with arXiv:1606.04441

Cited by in corpus (1)

• On the existence of analytic families of G-stable lattices and their reductions