Corpus ID: 16836979

The Hodge theoretic fundamental group and its cohomology

@article{Arapura2009TheHT,
  title={The Hodge theoretic fundamental group and its cohomology},
  author={Donu Arapura},
  journal={arXiv: Algebraic Geometry},
  year={2009}
}
  • D. Arapura
  • Published 2009
  • Mathematics
  • arXiv: Algebraic Geometry
In this paper, we explore a notion of nonabelian Hodge structure on the fundamental group of an algebraic variety. This is approach is compared to some alternative approaches due to Morgan, Hain and others. We also give criteria for a variety to be a Hodge theoretic K(pi,1), which roughly means that the cohomology of variations of mixed Hodge structure can be determined from the group. 
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The goal of this paper is to construct a category of motivic "sheaves" on an algebraic variety defined over a subfield of C, using Nori's method. This categoryis abelian and it possesses faithfulExpand
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The goal of this paper is to construct a category of motivic "sheaves" on an algebraic variety defined over a subfield of C, using Nori's method. This categoryis abelian and it possesses faithfulExpand
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