Niveaux de R-scindement de structures de Hodge mixtes
نویسنده
چکیده
We propose a generalization of the notion of R-split mixed Hodge structure by defining a Rsplitting level for mixed Hodge structures. This is a discrete invariant taking values in positive integers and equal to 0 for R-split mixed Hodge structures. We describe some properties of this invariant for classical operations on these structures and give some explicit calculation. Résumé Nous proposons une généralisation de la notion de structure de Hodge R-scindée en définissant un niveau de R-scindement pour les structures de Hodge mixtes. C’est un invariant discret à valeur dans les entiers positifs qui vaut 0 pour une structure R-scindée. Nous décrivons le comportement de cet invariant par les opérations naturelles sur les structures de Hodge mixtes et donnons quelques exemples de calculs. Mots-clefs: Théorie de Hodge, Matrice des périodes, Fibrés vectoriels. Code matière AMS: 14C30-32G20.
منابع مشابه
The locus of Hodge classes in an admissible variation of mixed Hodge structure
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تاریخ انتشار 2008