On arithmetic families of filtered phi-modules and crystalline representations

Eugen Hellmann

On arithmetic families of filtered phi-modules and crystalline representations

Algebraic Geometry 2015-03-17 v2 Number Theory

Authors: Eugen Hellmann

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.

Keywords

filtered phi-modules crystalline representations p-adic Galois representations rigid analytic spaces adic spaces period morphism stacks

Cite

@article{arxiv.1010.4577,
  title  = {On arithmetic families of filtered phi-modules and crystalline representations},
  author = {Eugen Hellmann},
  journal= {arXiv preprint arXiv:1010.4577},
  year   = {2015}
}

Comments

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

On arithmetic families of filtered phi-modules and crystalline representations

Abstract

Keywords

Cite

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