English

$\mathbf{A}_{\text{inf}}$ is infinite dimensional

Number Theory 2019-06-11 v1 Commutative Algebra

Abstract

Given a perfect valuation ring RR of characteristic pp that is complete with respect to a rank-11 nondiscrete valuation, we show that the ring Ainf\mathbf{A}_{\text{inf}} of Witt vectors of RR has infinite Krull dimension.

Cite

@article{arxiv.1906.03583,
  title  = {$\mathbf{A}_{\text{inf}}$ is infinite dimensional},
  author = {Jaclyn Lang and Judith Ludwig},
  journal= {arXiv preprint arXiv:1906.03583},
  year   = {2019}
}

Comments

6 pages

R2 v1 2026-06-23T09:48:00.426Z