Full faithfulness theorem for torsion crystalline representations

2012/06/21 by Yoshiyasu Ozeki, Ozeki, Yoshiyasu
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1206.4751

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openalex publication_date 2012/06/21 · arxiv created 2013/04/08 · arxiv updated 2013/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Mark Kisin proved that a certain restriction functor on crystalline p-adic representations is fully faithful. In this paper, we prove the torsion analogue of Kisin's theorem.

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