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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: English  -

Versión: 1.0

Tipo:  application/pdf -

Palabras clave14D05 -

Tipo de recurso: Text  -

Audiencia: Estudiante  -  Profesor  -  Autor  -

Estructura: Atomic

Coste: no

: Copyright 2012 Duke University Press

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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