Monodromy Of Codimension 1 Subfamilies Of Universal Curves

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Monodromy of codimension 1 subfamilies of universal curves

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Pertenece a: Project Euclid (Hosted at Cornell University Library)

Descripción: Suppose that $g\ge3$ , that $n\ge0$ , and that $\ell\ge1$ . The main result is that if $E$ is a smooth variety that dominates a codimension $1$ subvariety $D$ of $\mathcal{M}_{g,n}[\ell]$ , the moduli space of $n$ -pointed, genus $g$ , smooth, projective curves with a level $\ell$ structure, then the closure of the image of the monodromy representation $\pi_{1}(E,e_{o})\to {\mathrm{Sp}}_{g}(\widehat{ \mathbb{Z}})$ has finite index in ${\mathrm{Sp}}_{g}(\widehat{ \mathbb{Z}})$ . A similar result is proved for codimension $1$ families of principally polarized abelian varieties.

Autor(es): Hain, Richard -

Id.: 55259222

Idioma: inglés -

Versión: 1.0

Estado: Final

Tipo: application/pdf -

Palabras clave: 14D05 -

Tipo de recurso: Text -

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante - Profesor - Autor -

Estructura: Atomic

Coste: no

Copyright: sí

Formatos: application/pdf -

Requerimientos técnicos: Browser: Any -

Relación: [References] 0012-7094
[References] 1547-7398

Fecha de contribución: 25-jul-2012

Contacto:

Localización:
* Duke Math. J. 161, no. 7 (2012), 1351-1378
* doi:10.1215/00127094-1593299

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