scientific article

zbMath0484.14002MaRDI QIDQ3943063

Michael D. Fried, R. Biggers

Publication date: 1982

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002199718

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zbMATH Keywords

coarse moduli spaceNielsen typecover of Riemann sphererepresentation of Hurwitz monodromy

Mathematics Subject Classification ID

Complex-analytic moduli problems (32G13) Coverings in algebraic geometry (14E20) Formal methods and deformations in algebraic geometry (14D15) Homotopy groups of special spaces (55Q52) Fine and coarse moduli spaces (14D22)

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Hurwitz families and arithmetic Galois groups ⋮ Hurwitz spaces of Galois coverings of \(\mathbb P^1\), whose Galois groups are Weyl groups ⋮ Hyperelliptic odd coverings ⋮ Alternating groups and moduli space lifting invariants ⋮ Delta-components of moduli spaces of covers ⋮ Variables separated equations: strikingly different roles for the branch cycle lemma and the finite simple group classification ⋮ Compactification of the space of branched coverings of the two-dimensional sphere ⋮ Unnamed Item ⋮ Every curve is a Hurwitz space ⋮ Hurwitz families and nonabelian cohomology ⋮ Families of finite coverings of the Riemann sphere ⋮ The inverse Galois problem and rational points on moduli spaces ⋮ Normalized families and moduli spaces of finite Galois coverings ⋮ Groupes de Galois sur $K(T)$ ⋮ Familles de revêtements de la droite projective ⋮ Transitive factorizations in the symmetric group, and combinatorial aspects of singularity theory ⋮ Moduli spaces for covers of the Riemann sphere

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