Combinatorial properties of stable spin curves

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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.
LaTeX, 16 pages, 30 figures

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Algebraic Geometry, Combinatorics, 14H10, 05C75

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http://salesiana.dossiersoluciones.com/handle/123456789/64830

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209018
 http://arxiv.org/abs/math/0209018

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arXiv