On every reduced complex space X we construct a family of complexes of soft sheaves X; each of them is a resolution of the constant sheaf CX 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.
FAMILIES OF DIFFERENTIAL FORMS ON COMPLEX SPACES / V. ANCONA; B. GAVEAU. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - STAMPA. - 2:(2003), pp. 119-150.
FAMILIES OF DIFFERENTIAL FORMS ON COMPLEX SPACES.
ANCONA, VINCENZO;
2003
Abstract
On every reduced complex space X we construct a family of complexes of soft sheaves X; each of them is a resolution of the constant sheaf CX 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.File in questo prodotto:
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