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Families of differential forms on complex spaces

Vincenzo AnconaBernard Gaveau — 2003

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On every reduced complex space X we construct a family of complexes of soft sheaves Λ X ; each of them is a resolution of the constant sheaf X and induces the ordinary De Rham complex of differential forms on a dense open analytic subset of X . The construction is functorial (in a suitable sense). Moreover each of the above complexes can fully describe the mixed Hodge structure of Deligne on a compact algebraic variety.

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