Eigencurve

In number theory, an eigencurve is a rigid analytic curve that parametrizes certain p-adic families of modular forms, and an eigenvariety is a higher-dimensional generalization of this. Eigencurves were introduced by ColemanandMazur (1998), and the term "eigenvariety" seems to have been introduced around 2001 by KevinBuzzard (2007).