Every curve is a Hurwitz space

DOI10.1215/S0012-7094-89-05933-4zbMath0712.14013OpenAlexW2076543581MaRDI QIDQ923638

David Harbater, Steven P. Diaz, Ron Y. Donagi

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-89-05933-4

zbMATH Keywords

Hurwitz spacebranched covering mapHurwitz curve

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Families, moduli of curves (algebraic) (14H10) Coverings of curves, fundamental group (14H30)

Related Items (16)

Tamely ramified covers of the projective line with alternating and symmetric monodromy ⋮ The geometry of the compactification of the Hurwitz scheme ⋮ \(q\)-étale covers of cyclic \(p\)-gonal covers ⋮ Belyi pairs and fried families ⋮ VEECH GROUPS FOR HOLONOMY-FREE TORUS COVERS ⋮ Arithmetic Veech sublattices of SL\((2,\mathbf {Z})\) ⋮ One dimensional equisymmetric strata in moduli space with genus 1 quotient surfaces ⋮ The congruence subgroup problem for low rank free and free metabelian groups ⋮ On Galois group of factorized covers of curves ⋮ The level four braid group ⋮ Moduli interpretations for noncongruence modular curves ⋮ Computation of highly ramified coverings ⋮ The IA-congruence kernel of high rank free metabelian groups ⋮ The congruence subgroup problem for the free metabelian group on \(n\geq 4\) generators ⋮ One-dimensional Hurwitz spaces, modular curves, and real forms of Belyi meromorphic functions ⋮ Congruence subgroups of braid groups

Cites Work

• Unnamed Item
• Hurwitz families and arithmetic Galois groups
• Hurwitz schemes and irreducibility of moduli of algebraic curves
• ON GALOIS EXTENSIONS OF A MAXIMAL CYCLOTOMIC FIELD
• Fields of definition of function fields and hurwitz families — groups as galois groups
• ALGEBRAIC CURVES OVER FUNCTION FIELDS. I

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