Article ID Journal Published Year Pages File Type
5772647 Journal of Number Theory 2017 24 Pages PDF
Abstract
Let k be a perfect field of characteristic p>2, and let K be a finite totally ramified extension of W(k)[1p]. We prove that the locus of potentially semi-stable Gal(K¯/K)-representations of a given Hodge-Tate type and Galois type is a closed subspace of the universal deformation ring, generalizing the result of Kisin (2007) [Kis07] where k is assumed to be finite.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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