## On overconvergent Hilbert modular cusp forms. (À propos des formes modulaires surconvergentes cuspidales de Hilbert.)(English. French summary)Zbl 1408.11037

Andreatta, Fabrizio et al., Arithmétique $$p$$-adique des formes de Hilbert. Paris: Société Mathématique de France (SMF). Astérisque 382, 163-193 (2016).
Summary: We $$p$$-adically interpolate modular invertible sheaves over a strict neighborhood of the ordinary locus of a Hilbert modular variety. We then prove the existence of finite slopes families of cuspidal eigenforms.
For the entire collection see [Zbl 1353.11003].

### MSC:

 11F41 Automorphic forms on $$\mbox{GL}(2)$$; Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces 11F85 $$p$$-adic theory, local fields