On Non-Noetherian Iwasawa Theory

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- étale cohomology groups of $\mathbb{G}_m$ for curves over finite fields.

20 pages

Keywords

11R20, 11R23, 11R29, 11R34, 11R58, 11R60, 11R65, 11T30, 13F05, 19F27,, Mathematics - Number Theory, Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Rings and Algebras, Number Theory (math.NT)

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