The monodromy group of a function on a general curve

DOI10.1007/BF02772228zbMath1075.14027arXivmath/0304130OpenAlexW2021918427MaRDI QIDQ1885665

Helmut Voelklein, Kay Magaard

Publication date: 11 November 2004

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

Full work available at URL: https://arxiv.org/abs/math/0304130

zbMATH Keywords

alternating group

Mathematics Subject Classification ID

Coverings of curves, fundamental group (14H30)

Related Items (12)

Algebraic functions with even monodromy ⋮ Hyperelliptic odd coverings ⋮ Hurwitz spaces and liftings to the Valentiner group ⋮ \(q\)-étale covers of cyclic \(p\)-gonal covers ⋮ Alternating groups and moduli space lifting invariants ⋮ Primitive monodromy groups of genus at most two ⋮ On Galois group of factorized covers of curves ⋮ Problems from the Workshop on Automorphisms of Curves ⋮ Monodromy of projective curves ⋮ Non Uniform Projections of Surfaces in $\mathbb{P}^3$ ⋮ Alternating Catalan numbers and curves with triple ramification ⋮ Products of Jacobians as Prym-Tyurin varieties

Uses Software

• GAP
• BRAID

Cites Work

• Alternating groups and moduli space lifting invariants
• The inverse Galois problem and rational points on moduli spaces
• On the minimal degree of a primitive permutation group
• Curves with only triple ramification.
• Symmetric and alternating groups as monodromy groups of Riemann surfaces. I. Generic covers and covers with many branch points
• Realizing alternating groups as monodromy groups of genus one covers
• A GAP Package for Braid Orbit Computation and Applications
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