Infinitesimal Variations of Hodge Structure at Infinity

dc.creatorFernandez, Javier
dc.creatorCattani, Eduardo
dc.date2008-10-01
dc.date.accessioned2026-07-07T12:48:52Z
dc.date.available2026-07-07T12:48:52Z
dc.descriptionBy analyzing the local and infinitesimal behavior of degenerating polarized variations of Hodge structure the notion of infinitesimal variation of Hodge structure at infinity is introduced. It is shown that all such structures can be integrated to polarized variations of Hodge structure and that, conversely, all are limits of infinitesimal variations of Hodge structure (IVHS) at finite points. As an illustration of the rich information encoded in this new structure, some instances of the maximal dimension problem for this type of infinitesimal variation are presented and contrasted with the "classical" case of IVHS at finite points.
dc.identifierhttps://arxiv.org/abs/0810.0151
dc.identifierhttp://arxiv.org/abs/0810.0151
dc.identifierGeom. Dedicata 139, 299-312 (2009)
dc.identifierdoi:10.1007/s10711-008-9330-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222205
dc.subjectAlgebraic Geometry
dc.subject14D07, 32G20
dc.titleInfinitesimal Variations of Hodge Structure at Infinity
dc.typetext

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