Infinitesimal variations of hodge structure (I)
James Carlson, Mark Green, Phillip Griffiths, Joe Harris (1983)
Compositio Mathematica
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Displaying similar documents to “Non-commutative Hodge structures”
Infinitesimal variations of hodge structure (I)
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Every compact Kähler surface is deformation equivalent to a projective surface. In particular, topologically Kähler surfaces and projective surfaces cannot be distinguished. Kodaira had asked whether this continues to hold in higher dimensions. We explain the construction of a series of counter-examples due to C. Voisin, which yields compact Kähler manifolds of dimension at least four whose rational homotopy type is not realized by any projective manifold.
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Infinitesimal variations of hodge structure (III) : determinantal varieties and the infinitesimal invariant of normal functions
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