English

Frobenius modules over multivariate Robba rings

Number Theory 2020-08-31 v3

Abstract

We describe a class of multivariate series rings generalizing the usual Robba ring over a p-adic field, and give a basic development of phi-modules over such rings. This makes it possible to give a unified survey of a number of recent developments in p-adic Hodge theory.

Keywords

Cite

@article{arxiv.1311.7468,
  title  = {Frobenius modules over multivariate Robba rings},
  author = {Kiran S. Kedlaya},
  journal= {arXiv preprint arXiv:1311.7468},
  year   = {2020}
}

Comments

41 pages; v3: corrected treatment of locally analytic vectors in section 12

R2 v1 2026-06-22T02:17:19.149Z