학술논문

On Non-Noetherian Iwasawa Theory
Document Type
Working Paper
Source
Subject
Mathematics - Number Theory
Mathematics - Rings and Algebras
11R20, 11R23, 11R29, 11R34, 11R58, 11R60, 11R65, 11T30, 13F05, 19F27
Language
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 $\mathbb{G}_m$ for curves over finite fields.
Comment: 20 pages