Families over curves with a strictly maximal Higgs field

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We study certain rigid Shimura curves in the moduli scheme of polarized minimal n-folds of Kodaira dimension zero. Those are characterized by some numerical condition on the Deligne extension of the corresponding variation of Hodge structures, or equivalently by the strict maximality of the induced Higgs field. We show that such Shimura curves can not be proper, for n odd, and we give some examples, showing that they exist in all dimensions.
AMS-LaTeX, 24 pages,Crossreferences to math.AG/0207228 changed

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Algebraic Geometry, Complex Variables, 14K10 (Primary) 14G35, 14D05, 14D07, 14J32 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/66735

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303103
 http://arxiv.org/abs/math/0303103

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arXiv