Lifting results for rational points on Hurwitz moduli spaces

DOI10.1007/s11856-008-0019-0zbMath1246.14039OpenAlexW2055514598MaRDI QIDQ940737

Anna Cadoret

Publication date: 3 September 2008

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

Full work available at URL: https://doi.org/10.1007/s11856-008-0019-0

zbMATH Keywords

rigidityHurwitz spacefield of modulibase invariant

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Families, moduli of curves (algebraic) (14H10) Inverse Galois theory (12F12)

Related Items (4)

The field of definition of point sets in \(\mathbb P^1\) ⋮ Kähler geometry on Hurwitz spaces ⋮ Abelian constraints in inverse Galois theory ⋮ On the profinite regular inverse Galois problem

Uses Software

• BRAID

Cites Work

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• On the profinite regular inverse Galois problem
• Hurwitz families and arithmetic Galois groups
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• Local-global principles for algebraic covers
• Hurwitz families and nonabelian cohomology
• Fields of moduli of hyperelliptic curves
• Fields of moduli and definition of hyperelliptic covers
• Harbater-Mumford subvarieties of moduli spaces of covers
• Algebraic covers: Field of moduli versus field of definition
• A GAP Package for Braid Orbit Computation and Applications
• Plane curve complements and curves on Hurwitz spaces
• Corps [psi-libres et théorie inverse de Galois infinie]

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