English

The geometrically m-step solvable Grothendieck conjecture for genus 0 curves over finitely generated fields

Algebraic Geometry 2025-02-18 v3

Abstract

In this paper, we present some partial results for the geometrically m-step solvable Grothendieck conjecture in anabelian geometry. Among other things, we prove the geometrically 3-step solvable Grothendieck conjecture for genus 0 curves over fields finitely generated over the prime field of arbitrary characteristic.

Keywords

Cite

@article{arxiv.2010.00290,
  title  = {The geometrically m-step solvable Grothendieck conjecture for genus 0 curves over finitely generated fields},
  author = {Naganori Yamaguchi},
  journal= {arXiv preprint arXiv:2010.00290},
  year   = {2025}
}