Classicality of overconvergent Hilbert eigenforms: Case of quadratic   residue degree
  Let $F$ be a quadratic real field, $p$ be a rational prime inert in $F$. In this paper, we prove that an overconvergent $p$-adic Hilbert eigenform for $F$ of small slope is actually a classical Hilbert modular form. 
Yichao Tian
math.NT math.AG