English

Properties of Extended Robba Rings

Number Theory 2017-09-20 v1 Commutative Algebra

Abstract

We extend the analogy between the extended Robba rings of p-adic Hodge theory and the one-dimensional affinoid algebras of rigid analytic geometry, proving some fundamental properties that are well known in the latter case. In particular, we show that these rings are regular and excellent. The extended Robba rings are of interest as they are used to build the Fargues-Fontaine curve.

Keywords

Cite

@article{arxiv.1709.06221,
  title  = {Properties of Extended Robba Rings},
  author = {Peter Wear},
  journal= {arXiv preprint arXiv:1709.06221},
  year   = {2017}
}

Comments

22 pages, comments welcome

R2 v1 2026-06-22T21:47:40.583Z