Local-global principles for algebraic covers

DOI10.1007/BF02762275zbMath0915.12003MaRDI QIDQ1279636

Pierre Dèbes, Jean-Claude Douai

Publication date: 25 April 1999

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

zbMATH Keywords

algebraic varietylocal-global principlesalgebraic covers

Mathematics Subject Classification ID

Inverse Galois theory (12F12) Coverings of curves, fundamental group (14H30)

Related Items

The field of definition of point sets in \(\mathbb P^1\) ⋮ On the fields of definition of genus‐one covers of P1$\mathbb {P}^1$ ⋮ Algebraic covers: Field of moduli versus field of definition ⋮ Hyperelliptic Curves with Extra Involutions ⋮ Lifting results for rational points on Hurwitz moduli spaces ⋮ On fields of moduli of curves ⋮ Effective descent of the field of definition of a Galois cover ⋮ Gerbes and covers

Cites Work

• Hurwitz families and arithmetic Galois groups
• Effective descent of the field of definition of a Galois cover
• Cohomologie Galoisienne. Cours au College de France, 1962-1963. 4e ed
• Fields of definition of function fields and hurwitz families — groups as galois groups
• Algebraic covers: Field of moduli versus field of definition
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