Families over curves with a strictly maximal Higgs field

dc.creatorViehweg, Eckart
dc.creatorZuo, Kang
dc.date2003-03-08
dc.date2003-06-15
dc.date.accessioned2026-07-07T04:55:53Z
dc.date.available2026-07-07T04:55:53Z
dc.descriptionWe 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.
dc.descriptionAMS-LaTeX, 24 pages,Crossreferences to math.AG/0207228 changed
dc.identifierhttps://arxiv.org/abs/math/0303103
dc.identifierhttp://arxiv.org/abs/math/0303103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66735
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14K10 (Primary) 14G35, 14D05, 14D07, 14J32 (Secondary)
dc.titleFamilies over curves with a strictly maximal Higgs field
dc.typetext

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