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
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On every reduced complex space we construct a family of complexes of soft sheaves ; each of them is a resolution of the constant sheaf and induces the ordinary De Rham complex of differential forms on a dense open analytic subset of . 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.
@article{ASNSP_2003_5_2_1_119_0,
author = {Ancona, Vincenzo and Gaveau, Bernard},
title = {Families of differential forms on complex spaces},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {119--150},
publisher = {Scuola normale superiore},
volume = {Ser. 5, 2},
number = {1},
year = {2003},
mrnumber = {1990976},
zbl = {1170.35358},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ASNSP_2003_5_2_1_119_0/}
}
TY - JOUR AU - Ancona, Vincenzo AU - Gaveau, Bernard TI - Families of differential forms on complex spaces JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2003 SP - 119 EP - 150 VL - 2 IS - 1 PB - Scuola normale superiore UR - http://geodesic.mathdoc.fr/item/ASNSP_2003_5_2_1_119_0/ LA - en ID - ASNSP_2003_5_2_1_119_0 ER -
%0 Journal Article %A Ancona, Vincenzo %A Gaveau, Bernard %T Families of differential forms on complex spaces %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2003 %P 119-150 %V 2 %N 1 %I Scuola normale superiore %U http://geodesic.mathdoc.fr/item/ASNSP_2003_5_2_1_119_0/ %G en %F ASNSP_2003_5_2_1_119_0
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://geodesic.mathdoc.fr/item/ASNSP_2003_5_2_1_119_0/