Tropicalizing the moduli space of spin curves

DOI10.1007/s00029-020-0539-yzbMath1442.14195arXiv1902.07803OpenAlexW3008413448MaRDI QIDQ2297845

Margarida Melo, Lucia Caporaso, Marco Pacini

Publication date: 20 February 2020

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07803

zbMATH Keywords

moduli spacetropical curveskeletontheta-characteristictropicalization mapstable spin curve

Mathematics Subject Classification ID

Geometric aspects of tropical varieties (14T20) Families, moduli of curves (algebraic) (14H10) Jacobians, Prym varieties (14H40)

Related Items

On moduli spaces of roots in algebraic and tropical geometry, A universal tropical Jacobian over Mgtrop$M_g^{\rm {trop}}$, Theta-characteristics on tropical curves, The moduli space of quasistable spin curves, Abelian tropical covers, Skeletons of Prym varieties and Brill-Noether theory, A non-Archimedean analogue of Teichmüller space and its tropicalization

Cites Work

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• Tropicalizing the space of admissible covers
• Bitangents of tropical plane quartic curves
• Theta characteristics of hyperelliptic graphs
• The geometry of the moduli space of odd spin curves
• On the tropical Torelli map
• Geometry of the theta divisor of a compactified Jacobian
• The birational type of the moduli space of even spin curves
• Combinatorics of compactified universal Jacobians
• Tropicalization of theta characteristics, double covers, and Prym varieties
• Theta characteristics of tropical \(K_4\)-curves
• Lifting tropical bitangents
• The irreducibility of the space of curves of a given genus
• GEOMETRY OF THE MODULI OF HIGHER SPIN CURVES
• Tropicalizing vs. compactifying the Torelli morphism
• Tropical theta characteristics
• Tropical geometry of moduli spaces of weighted stable curves
• Moduli of curves and spin structures via algebraic geometry
• Moduli of roots of line bundles on curves
• The tropicalization of the moduli space of curves
• Towards an enumerative geometry of the moduli space of twisted curves and rth roots
• Theta-Characteristics on Algebraic Curves
• Torsion-Free Sheaves and Moduli of Generalized Spin Curves
• Combinatorial Properties of Stable Spin Curves
• Moduli of twisted spin curves
• The universal tropical Jacobian and the skeleton of the Esteves' universal Jacobian