A mixed Hodge structure on a CR manifold

Mathematics – Complex Variables

Scientific paper

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Scientific paper

The purpose of this work is to propose a mixed Hodge structure over a CR
manifold. As you know, for a CR manifold, Kohn-Rossi cohomology is naturally
introduced. However, the relation between Kohn-Rossi cohomology and De Rham
cohomology is not so well understood, even in Tanaka's work. We discuss this
point.

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