2002/09/02 by Lucia Caporaso, Caporaso, Lucia, Cinzia Casagrande +1
Computer Science · Mathematics · #05C75 #14H10 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Topological and Geometric Data Analysis #math.AG #math.CO #msc:05C75 #msc:14H10
paper · pdf · doi:10.48550/arxiv.math/0209018
LaTeX, 16 pages, 30 figures
arxiv created 2002/09/02 · openalex publication_date 2002/09/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The geometry of the moduli space of stable spin curves is studied, with emphasis on its combinatorial properties. In this context, the standard graph theoretic framework is not just a book-keeping device: some purely combinatorial results are proved, having moduli theoretic applications. In particular, certain strata of the moduli space of stable curves are characterized by a (finite) set of integers, measuring the non-reducedness of the scheme of spin curves, and definable in purely graph-theoretical terms.