Harmonic Maass form eigencurves (Q2319755)

In the paper under review, the author constructs two families of harmonic Maass Hecke eigenforms. Using these families, he constructs \(p\)-adic harmonic Maass forms in the sense of Serre. The \(p\)-adic properties of these forms answer a question of Mazur about the existence of an ``eigencurve-type'' object in the world of harmonic Maass forms [\textit{R. Coleman} and \textit{B. Mazur}, Lond. Math. Soc. Lect. Note Ser. 254, 1--113 (1998; Zbl 0932.11030)].