Classicality of overconvergent Hilbert eigenforms: case of quadratic residue degrees
Yichao Tian
Chinese Academy of Sciences, Beijing, China
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Abstract
Let be a real quadratic field, be a rational prime inert in , and be an integer coprime to . Consider an overconvergent -adic Hilbert eigenform for of weight and level . We prove that if the slope of is strictly less than , then is a classical Hilbert modular form of level .
Cite this article
Yichao Tian, Classicality of overconvergent Hilbert eigenforms: case of quadratic residue degrees. Rend. Sem. Mat. Univ. Padova 132 (2014), pp. 133–229
DOI 10.4171/RSMUP/132-10