The geometrically m-step solvable Grothendieck conjecture for genus 0 curves over finitely generated fields
arXiv:2010.00290 · doi:10.1016/j.jalgebra.2023.01.028
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.