Families of differential forms on complex spaces
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 2 (2003) no. 1, pp. 119-150.

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 ℂ 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.

Classification : 32C15, 32S35 
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Ancona, Vincenzo; Gaveau, Bernard. Families of differential forms on complex spaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 2 (2003) no. 1, pp. 119-150. http://www.numdam.org/item/ASNSP_2003_5_2_1_119_0/

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