Pre-Galois theory

zbMath1489.12017arXiv1906.06631MaRDI QIDQ2046755

David Harbater, Pierre Dèbes

Publication date: 19 August 2021

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

Full work available at URL: https://arxiv.org/abs/1906.06631

zbMATH Keywords

regular extensionHilbert fieldample (=large) fieldgeometrically Galois extensionpotentially Galois extensionpre-Galois extension

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Arithmetic ground fields for curves (14H25) Arithmetic algebraic geometry (Diophantine geometry) (11G99) Inverse Galois theory (12F12) Algebraic functions and function fields in algebraic geometry (14H05)

Cites Work

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• On Semidirect Products and the Arithmetic Lifting Property
• On extensions of number fields obtained by specializing branched coverings.
• Construction of coverings of pointed curves
• On the Galois correspondence theorem in separable Hopf Galois theory

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