Variations of Hodge structure, expressed by meromorphic differentials on the projective plane

ЗаглавиеVariations of Hodge structure, expressed by meromorphic differentials on the projective plane
Вид публикацияJournal Article
Година на публикуване2000
АвториKasparian A
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том92
IssueLivre 1 - Mathématiques et Mecanique
Pagination17-30
ISSN0205-0808
ключови думиabelian-motivic and hypersurface variations, tautological variations of Hodge structure and $J$ - Hodge structure
Резюме

The tautological variations of Hodge structure over Siegel upper half space, the open quadric and the generalized ball are expressed explicitely by the variations of Hodge structure of Weil hypersurfaces in projective spaces. That realizes all the abelian-motivic variations of Hodge structure by families of Jacobians of plane curves, which are known to be described by meromorphic differentials on the projective plane. As a consequence, the geometric origin of a maximal dimensional variation of Hodge structure turns to be sufficient for expressing it by meromorphic differentials on the projective plane.

1991/95 MSC

14D07, 14K10

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