Variations of Mixed Hodge Structure attached to the deformation theory of a Complex Variation of Hodge Structures - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: We construct a Mixed Hodge Structure on the local complete ring of therepresentation scheme at the holonomy of a VHS on a compact K\-ahler manifoldand prove that the corresponding tautological representation is the holonomy ofa VMHS. In order to carry out this construction we revisit the well-known workof Goldman and Millson on the deformation theory of representations of K\-ahlergroups.



Author: Philippe Eyssidieux IF, Carlos T. Simpson JAD

Source: https://arxiv.org/



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