Alternating Catalan numbers and curves with triple ramification

DOI10.2422/2036-2145.201909_009zbMath1476.14057arXiv1906.10406OpenAlexW3128256577MaRDI QIDQ5161594

Gavril Farkas, Gian Pietro Pirola, Juan Carlos Naranjo, Riccardo Moschetti

Publication date: 1 November 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.10406

zbMATH Keywords

elliptic curvesalgebraic curvescoveringsCatalan numbers

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Coverings of curves, fundamental group (14H30) Families, moduli of curves (analytic) (14H15)

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Cites Work

• Divisors on general curves and cuspidal rational curves
• Alternating groups and moduli space lifting invariants
• Limit linear series: Basic theory
• On the minimal degree of a primitive permutation group
• On the Kodaira dimension of the moduli space of curves
• The monodromy group of a function on a general curve
• ``Catalan traffic and integrals on the Grassmannian of lines
• Schubert calculus and representations of the general linear group
• Symmetric and alternating groups as monodromy groups of Riemann surfaces. I. Generic covers and covers with many branch points
• Exceptional Weierstrass points and the divisor on moduli space that they define
• Twisted Bundles and Admissible Covers
• Algebraic functions with even monodromy
• Theta characteristics of an algebraic curve
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