ON THE GROTHENDIECK CONJECTURE FOR AFFINE HYPERBOLIC CURVES OVER KUMMER-FAITHFUL FIELDS

DOI10.2206/kyushujm.71.1zbMath1388.14088OpenAlexW2619864327MaRDI QIDQ5268803

Yuichiro Hoshi

Publication date: 21 June 2017

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.71.1

zbMATH Keywords

hyperbolic curveGrothendieck conjectureKummer-faithful field

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Coverings of curves, fundamental group (14H30)

Related Items (6)

Kummer-faithful fields which are not sub-\(p\)-adic ⋮ The absolute anabelian geometry of quasi-tripods ⋮ A note on highly Kummer-faithful fields ⋮ Anabelian group-theoretic properties of the absolute Galois groups of discrete valuation fields ⋮ A study on anabelian geometry of higher local fields ⋮ Birational anabelian Grothendieck conjecture for curves over arbitrary cyclotomic extension fields of number fields

This page was built for publication: ON THE GROTHENDIECK CONJECTURE FOR AFFINE HYPERBOLIC CURVES OVER KUMMER-FAITHFUL FIELDS