The Eigencurve is Proper

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The Eigencurve is Proper

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Title: The Eigencurve is Proper
Author: Diao, Hansheng
Citation: Diao, Hansheng. 2014. The Eigencurve is Proper. Doctoral dissertation, Harvard University.
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Abstract: Coleman and Mazur constructed a rigid analytic curve Cp,N, called the eigencurve, whose points correspond to all finite slope overconvergent p-adic eigenforms. We prove the conjecture that the eigencurve Cp,N is proper over the weight space for any prime p and tame level N.
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