The Hodge theoretic fundamental group and its cohomology
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Publication:3065019
zbMath1209.14016arXiv0902.4252MaRDI QIDQ3065019
Publication date: 3 January 2011
Full work available at URL: https://arxiv.org/abs/0902.4252
Tannakian categoriesFundamental groupEnriched local systemNonabelian Hodge theoryVariation of mixed Hodge structure
Representation theory for linear algebraic groups (20G05) Homotopy theory and fundamental groups in algebraic geometry (14F35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)
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Tannakian formalism for fiber functors over tensor categories ⋮ Linear Shafarevich conjecture ⋮ Real Non-Abelian Mixed Hodge Structures for Quasi-Projective Varieties: Formality and Splitting ⋮ Tannaka duality for enhanced triangulated categories. I: Reconstruction ⋮ Morgan’s mixed Hodge structures and nonabelian Hodge structures
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