Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results ?

@article{Carlson2009VariationsOH,
  title={Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results ?},
  author={J. Carlson and M. Green and P. Griffiths},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  year={2009},
  volume={5},
  pages={087}
}
This paper is a survey of the subject of variations of Hodge structure (VHS) considered as exterior differential systems (EDS). We review developments over the last twenty-six years, with an emphasis on some key examples. In the penultimate section we present some new results on the characteristic cohomology of a homogeneous Pfaffian system. In the last section we discuss how the integrability conditions of an EDS affect the expected dimension of an integral submanifold. The paper ends with… Expand
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