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Coupled contact systems and rigidity of maximal dimensional variations of Hodge structure

Coupled contact systems and rigidity of maximal dimensional variations of Hodge structure

In this article we prove that locally Griffiths’ horizontal distribution on the period domain is given by a generalized version of the familiar contact differential system. As a consequence of this description we obtain strong local rigidity properties of maximal dimensional variations of Hodge structure. For example, we prove that …