English

On Non-Noetherian Iwasawa Theory

Number Theory 2024-01-08 v1 Rings and Algebras

Abstract

We prove a general structure theorem for finitely presented torsion modules over a class of commutative rings that need not be Noetherian. As a first application, we then use this result to study the Weil- \'etale cohomology groups of Gm\mathbb{G}_m for curves over finite fields.

Keywords

Cite

@article{arxiv.2401.02946,
  title  = {On Non-Noetherian Iwasawa Theory},
  author = {David Burns and Alexandre Daoud and Dingli Liang},
  journal= {arXiv preprint arXiv:2401.02946},
  year   = {2024}
}

Comments

20 pages

R2 v1 2026-06-28T14:09:43.784Z