Year: 2026
Type: preprint
Abstract: We reprove Borel's computation of the rank of the $K$-groups of rings of algebraic integers $\mathcal{O}_F$ for certain number fields, e.g., $F = \mathbb{Q}(μ_{l^k})$ for $l$ an odd regular prime number. The idea is to recover a simple formula for $l$-adic {é}tale cohomology groups of $\mathcal{O}_F$ in terms of Iwasawa theoretic objects without using Borel's result as an input.
Source: arXiv (Cornell University)
Author: Hesse, Jan Ole
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223084164