Hurwitz families and arithmetic Galois groups

DOI10.1215/S0012-7094-85-05243-3zbMath0601.14023MaRDI QIDQ1080906

Kevin R. Coombes, David Harbater

Publication date: 1985

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Hurwitz spacefields of definitionHurwitz familycoarse moduli space

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20) Coverings of curves, fundamental group (14H30)

Related Items

Regular Dessins with Abelian Automorphism Groups, Minimal fields of definition for Galois action, Unnamed Item, Ramification in the field of moduli., On fiber products of rational elliptic surfaces with section, Some coverings defined over \(\mathbb{Q}\), Algebraic curves uniformized by congruence subgroups of triangle groups, Groupe fondamental des champs algébriques, inertie et action galoisienne, Galois actions on regular dessins of small genera, Ramified primes in the field of moduli of branched coverings of curves, Algebraic covers: Field of moduli versus field of definition, Every curve is a Hurwitz space, Fields of moduli of three-point \(G\)-covers with cyclic \(p\)-Sylow. II, Hurwitz families and nonabelian cohomology, The inverse Galois problem and rational points on moduli spaces, Lifting results for rational points on Hurwitz moduli spaces, Galois branched covers with fixed ramification locus, Endomorphism algebras of Jacobians, Galois action on regular dessins d’enfant with simple group action, Pre-Galois theory, Numerical calculation of three-point branched covers of the projective line, Local-global principles for algebraic covers, On fields of moduli of curves, Effective descent of the field of definition of a Galois cover

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