Niveaux de R-scindement de structures de Hodge mixtes

Details Niveaux de R-scindement de structures de Hodge mixtes Niveaux de R-scindement de structures de Hodge mixtes

2001-06-28

arxiv.org/abs/math/0106247v1

Mathematics

Algebraic Geometry

25 pages

Scientific paper

We propose a generalization of the notion of ${\bf R}$-split mixed Hodge structure by defining a ${\bf R}$-splitting level for mixed Hodge structures. This is a discrete invariant taking values in positive integers and equal to 0 for ${\bf R}$-split mixed Hodge structures. We describe some properties of this invariant for classical operations on these structures and give some explicit calculation.

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