Irreducibility of Moduli Spaces of Cyclic Unramified Covers of Genus g Curves

DOI10.2307/2000145zbMath0601.14022OpenAlexW4249479814MaRDI QIDQ3735848

R. Biggers, Michael D. Fried

Publication date: 1986

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000145

zbMATH Keywords

Hurwitz spaceHurwitz monodromy groupcovering of Riemann surfacesNielsen type

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 (13)

Hurwitz spaces of Galois coverings of \(\mathbb P^1\), whose Galois groups are Weyl groups ⋮ Irreducible components of Hurwitz spaces of coverings with two special fibers ⋮ \(q\)-étale covers of cyclic \(p\)-gonal covers ⋮ The nonabelian Brill-Noether divisor on \(\overline{\mathcal{M}}_{13}\) and the Kodaira dimension of \(\overline{\mathcal{R}}_{13}\) ⋮ Irreducibility of the space of dihedral covers of the projective line of a given numerical type ⋮ The irreducible components of the moduli space of dihedral covers of algebraic curves ⋮ Variables separated equations: strikingly different roles for the branch cycle lemma and the finite simple group classification ⋮ Unnamed Item ⋮ On Galois group of factorized covers of curves ⋮ Irreducibility of Hurwitz spaces of coverings with one special fiber and monodromy group a Weyl group of type \(D_d\) ⋮ Monodromy groups of Hurwitz-type problems ⋮ Skeletons of Prym varieties and Brill-Noether theory ⋮ Cubic threefolds, Fano surfaces and the monodromy of the Gauss map

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