Spin curves over non-stable curves

2006/02/20 by Marco Pacini, Pacini, Marco
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #math.AG

paper · pdf · doi:10.48550/arxiv.math/0602420

New version, 25 pages, 9 figures

openalex publication_date 2006/02/20 · arxiv created 2007/05/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Here we consider degenerations of stable spin curves for a fixed smoothing of a non-stable curve: we are able to give enumerative results and a description of limits of stable spin curves. We give a geometrically meaningful definition of spin curves over non-stable curves.

Related

• Enriched spin curves on stable curves with two components
• Combinatorial properties of stable spin curves
• Characterizing Curves by their odd Theta-characteristics
• Stable degenerations of symmetric squares of curves
• An Analytic Proof of the Stable Reduction Theorem