Moduli of \(G\)-covers of curves: geometry and singularities

DOI10.5802/aif.3503OpenAlexW4288358726WikidataQ114013437 ScholiaQ114013437MaRDI QIDQ2087364

Mattia Galeotti

Publication date: 27 October 2022

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.02889

zbMATH Keywords

singularitiescurvesbirational geometrymoduli of curvescurve coveringsstable curves\(G\)-covers

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60) Singularities of curves, local rings (14H20) Stacks and moduli problems (14D23)

Uses Software

• KoszulDivisorOnPic14M8

Cites Work

• Syzygies of torsion bundles and the geometry of the level \(\ell \) modular variety over \(\overline{\mathcal{M}}_{g}\)
• The geometry of the moduli space of odd spin curves
• Singularities of the moduli space of level curves
• Singularities of moduli of curves with a universal root
• On the Kodaira dimension of the moduli space of curves. II: The even-genus case
• Stable twisted curves and their \(r\)-spin structures
• The Kodaira dimension of the moduli space of curves of genus \(\geq 23\)
• On the Kodaira dimension of the moduli space of curves
• Local classification of quotients of complex manifolds by discontinuous groups
• The irreducibility of the space of curves of a given genus
• Compactifying the space of stable maps
• Champs de Hurwitz
• Geometry of Algebraic Curves
• Deformations of Algebraic Schemes
• On the geometry of the moduli space of spin curves
• Twisted Bundles and Admissible Covers
• Pointed admissible G-covers and G-equivariant cohomological field theories
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