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Overconvergent Families of Siegel–Hilbert Modular Forms

Published online by Cambridge University Press:  20 November 2018

Chung Pang Mok  and
Fucheng Tan
Chung Pang Mok
Affiliation:
Morningside Center of Mathematics, Beijing 100190, China e-mail: mokgaussian@gmail.com
Fucheng Tan
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, Michigan 48824, USA e-mail: ftan@math.msu.edu
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Abstract

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We construct one-parameter families of overconvergent Siegel–Hilbert modular forms. This result has applications to the construction of Galois representations for automorphic forms of non-cohomological weights.

Keywords

11F4614G22p-adic automorphic formrigid analytic geometry
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 67 , Issue 4 , 01 August 2015 , pp. 893 - 922
Copyright
Copyright © Canadian Mathematical Society 2015

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