On arithmetic families of filtered phi-modules and crystalline representations

Abstract

We consider stacks of filtered phi-modules over rigid analytic spaces and adic spaces. We show that these modules parametrize p-adic Galois representations of the absolute Galois group of a p-adic field with varying coefficients over an open substack containing all classical points. Further we study a period morphism (defined by Pappas and Rapoport) from a stack parametrizing integral data and determine the image of this morphism.

52 pages. More details in the last section. One of the section has become a paper of its own

Cited by in corpus (4)

• Relative p-adic Hodge theory: Foundations
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• Local Shtukas, Hodge-Pink Structures and Galois Representations