Andreatta, Fabrizio; Iovita, Adrian; Pilloni, Vincent 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]. Cited in 18 Documents 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 Keywords:Hilbert modular cusp forms; Hecke operators; coherent sheaves PDFBibTeX XMLCite \textit{F. Andreatta} et al., Astérisque 382, 163--193 (2016; Zbl 1408.11037)