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arxiv: 0804.1164 · v2 · pith:JCW2SRV4new · submitted 2008-04-08 · 🧮 math.NT

Explicit reduction modulo p of certain crystalline representations

classification 🧮 math.NT
keywords crystallinemoduloreductionrepresentationsapplicationscertaincomputecorrespondence
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We use the p-adic local Langlands correspondence for GL_2(Q_p) to explicitly compute the reduction modulo p of crystalline representations of small slope, and give applications to modular forms.

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