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Overconvergent Families of Siegel-Hilbert Modular Forms

  • Chung Pang Mok,
    Morningside Center of Mathematics, Beijing 100190
  • Fucheng Tan,
    Department of Mathematics , Michigan State University , East Lansing, Michigan 48824, USA
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Abstract

We construct one-parameter families of overconvergent Siegel-Hilbert modular forms. This result has applications to construction of Galois representations for automorphic forms of non-cohomological weights.
Keywords: p-adic automorphic form, rigid analytic geometry p-adic automorphic form, rigid analytic geometry
MSC Classifications: 11F46, 14G22 show english descriptions Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms
Rigid analytic geometry
11F46 - Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms
14G22 - Rigid analytic geometry
 

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