Singularities of the moduli space of level curves

DOI10.4171/JEMS/677zbMath1398.14032arXiv1205.0201OpenAlexW2963642323MaRDI QIDQ520734

Alessandro Chiodo, Gavril Farkas

Publication date: 5 April 2017

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0201

zbMATH Keywords

admissible coversmoduli of curvestwisted curves

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10)

Related Items (10)

Syzygies of torsion bundles and the geometry of the level \(\ell \) modular variety over \(\overline{\mathcal{M}}_{g}\) ⋮ Congruences on K-theoretic Gromov-Witten invariants ⋮ A compactification of the moduli space of multiple-spin curves ⋮ Abelian tropical covers ⋮ Cyclic étale coverings of generic curves and ordinariness of dormant opers ⋮ Singularities of moduli of curves with a universal root ⋮ Extremal effective divisors on \(\overline{\mathcal M}_{1,n}\) ⋮ Birational geometry of moduli of curves with an \(S_3\)-cover ⋮ Relations on $\overline {\mathcal {M}}_{g,n}$ via orbifold stable maps ⋮ Moduli of \(G\)-covers of curves: geometry and singularities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Syzygies of torsion bundles and the geometry of the level \(\ell \) modular variety over \(\overline{\mathcal{M}}_{g}\)
• Moduli of theta-characteristics via Nikulin surfaces
• The geometry of the moduli space of odd spin curves
• Quotients by groupoids
• Stable twisted curves and their \(r\)-spin structures
• The Kodaira dimension of the moduli space of Prym varieties
• The birational type of the moduli space of even spin curves
• On the locus of curves with automorphisms
• On the Kodaira dimension of the moduli space of curves
• On the Kodaira dimension of the moduli space of Abelian varieties
• Local classification of quotients of complex manifolds by discontinuous groups
• Compactifying the space of stable maps
• Geometry of Algebraic Curves
• Moduli of roots of line bundles on curves
• (Log) twisted curves
• Gromov-Witten theory of Deligne-Mumford stacks
• Towards an enumerative geometry of the moduli space of twisted curves and rth roots
• On the geometry of the moduli space of spin curves
• Algebraic Graph Theory
• The McKay correspondence for finite subgroups of SL(3,\C)
• Torsion-Free Sheaves and Moduli of Generalized Spin Curves
• Twisted Bundles and Admissible Covers
• Moduli of twisted spin curves
• The Picard group of the moduli of higher spin curves

This page was built for publication: Singularities of the moduli space of level curves