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.
2003
2
119
150
V. ANCONA; B. GAVEAU
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/3207
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