2021-12-06T22:05:40Zhttps://repository.dl.itc.u-tokyo.ac.jp/oaioai:repository.dl.itc.u-tokyo.ac.jp:000399902021-03-02T02:40:36ZZariski Density of Crystalline Representations for Any p-Adic FieldNakamura, Kentaro92411415p-adic Hodge theorytrianguline representationsB-pairsThe aim of this article is to prove Zariski density of crystalline representations in the rigid analytic space associated to the universal deformation ring of a d-dimensional mod p representation of Gal(K̅/K) for any d and any p-adic field K. This is a generalization of the results of Colmezand Kisin for d = 2 and K = Qp, of the author for d = 2 and any K, and of Chenevier for any d and K = Qp. A key ingredient for the proof is to construct a p-adic family of trianguline representations which can be seen as a local analogue of eigenvarieties. In this article, we construct such a family by generalizing Kisin’s theory of finite slope subspace Xfs for any d and any K, and using Bellaïche- Chenevier’s idea of using exterior products in the study of trianguline deformations.departmental bulletin paperGraduate School of Mathematical Sciences, The University of Tokyo2014-06-30application/pdfJournal of mathematical sciences, the University of Tokyo12179127AA1102165313405705https://repository.dl.itc.u-tokyo.ac.jp/record/39990/files/jms210103.pdfeng