On a twisted de Rham complex

Authors
Citation
C. Sabbah, On a twisted de Rham complex, TOHOKU MATH, 51(1), 1999, pp. 125-140
Citations number
20
Categorie Soggetti
Mathematics
Journal title
TOHOKU MATHEMATICAL JOURNAL
ISSN journal
00408735 → ACNP
Volume
51
Issue
1
Year of publication
1999
Pages
125 - 140
Database
ISI
SICI code
0040-8735(199903)51:1<125:OATDRC>2.0.ZU;2-P
Abstract
We show that, given a projective regular function f: X --> Con a smooth qua si-projective variety, the corresponding cohomology groups of the twisted d e Rham complex (Omega(x)(.), d ---> df boolean AND) and of the complex (Ome ga(x)(.), df boolean AND) have the same dimension. We generalize the result to de Rham complexes with coefficients in a mixed Hedge Module.