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

Abstract : 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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https://hal.archives-ouvertes.fr/hal-00361369
Contributor : Philippe Eyssidieux <>
Submitted on : Friday, February 13, 2009 - 7:34:53 PM
Last modification on : Friday, January 12, 2018 - 1:51:45 AM
Long-term archiving on: Tuesday, June 8, 2010 - 10:25:38 PM

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  • HAL Id : hal-00361369, version 1
  • ARXIV : 0902.2626

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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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