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Niveaux de R-scindement de structures de Hodge mixtes

Olivier Penacchio
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Abstract

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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Olivier Penacchio. 2001-06-28. Niveaux de R-scindement de structures de Hodge mixtes. https://arxiv.org/abs/math/0106247

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