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Classicality of overconvergent Hilbert eigenforms: Case of quadratic residue degree

Number Theory 2011-04-26 v1 Algebraic Geometry

Abstract

Let FF be a quadratic real field, pp be a rational prime inert in FF. In this paper, we prove that an overconvergent pp-adic Hilbert eigenform for FF of small slope is actually a classical Hilbert modular form.

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Cite

@article{arxiv.1104.4583,
  title  = {Classicality of overconvergent Hilbert eigenforms: Case of quadratic residue degree},
  author = {Yichao Tian},
  journal= {arXiv preprint arXiv:1104.4583},
  year   = {2011}
}

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75 pages