English

On the semi-simplicity conjecture for $\mathbb{Q}^{ab}$

Number Theory 2023-07-25 v2 Algebraic Geometry

Abstract

We show that the semi-simplicity conjecture for finitely generated fields follows from the conjunction of the semi-simplicity conjecture for finite fields and for the maximal abelian extension of the field of rational numbers.

Keywords

Cite

@article{arxiv.1805.11071,
  title  = {On the semi-simplicity conjecture for $\mathbb{Q}^{ab}$},
  author = {Marco D'Addezio},
  journal= {arXiv preprint arXiv:1805.11071},
  year   = {2023}
}

Comments

7 pages; {\S}3 expanded

R2 v1 2026-06-23T02:10:54.071Z