Variations of Mixed Hodge Structure attached to the deformation theory of a Complex Variation of Hodge Structures - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2009

Variations of Mixed Hodge Structure attached to the deformation theory of a Complex Variation of Hodge Structures

Philippe Eyssidieux
Carlos Simpson

Résumé

We construct a Mixed Hodge Structure on the local complete ring of the representation scheme at the holonomy of a VHS on a compact Kähler manifold and prove that the corresponding tautological representation is the holonomy of a VMHS. In order to carry out this construction we revisit the well-known work of Goldman and Millson on the deformation theory of representations of Kähler groups.
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Dates et versions

hal-00361369 , version 1 (13-02-2009)

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Philippe Eyssidieux, Carlos Simpson. Variations of Mixed Hodge Structure attached to the deformation theory of a Complex Variation of Hodge Structures. 2009. ⟨hal-00361369⟩
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