Singularities of moduli of curves with a universal root

DOI10.25537/dm.2017v22.1337-1373zbMath1386.14102arXiv1504.00568MaRDI QIDQ683764

Mattia Galeotti

Publication date: 9 February 2018

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00568

zbMATH Keywords

canonical singularitiesmoduli space of stable curvestorsion line bundles

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Vector bundles on curves and their moduli (14H60) Singularities of curves, local rings (14H20)

Related Items (2)

Birational geometry of moduli of curves with an \(S_3\)-cover ⋮ Moduli of \(G\)-covers of curves: geometry and singularities

Uses Software

• KoszulDivisorOnPic14M8

Cites Work

• Unnamed Item
• 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
• The Picard groups of the moduli spaces of curves
• Stable twisted curves and their \(r\)-spin structures
• The Kodaira dimension of the moduli space of Prym varieties
• The geometry of the moduli space of curves of genus 23
• On the Kodaira dimension of the moduli space of curves
• Local classification of quotients of complex manifolds by discontinuous groups
• Compactifying the space of stable maps
• On the geometry of the moduli space of spin curves
• Poincaré bundles for families of curves.
• Twisted Bundles and Admissible Covers
• Moduli of twisted spin curves

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