On the blow-up formula of twisted de Rham cohomology

On the blow-up formula of twisted de Rham cohomology

We derive a blow-up formula for the de Rham cohomology of a local system of complex vector spaces on a compact complex manifold. As an application, we obtain the blow-up invariance of E 1 -degeneracy of the Hodge–de Rham spectral sequence associated with a local system of complex vector spaces.

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Veröffentlicht in:Annals of global analysis and geometry 2019-09, Vol.56 (2), p.277-290
Hauptverfasser: Chen, Youming, Yang, Song
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Differential Geometry
Geometry
Global Analysis and Analysis on Manifolds
Homology
Mathematical Physics
Mathematics
Mathematics and Statistics
Topological manifolds
Vector spaces
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Zusammenfassung:We derive a blow-up formula for the de Rham cohomology of a local system of complex vector spaces on a compact complex manifold. As an application, we obtain the blow-up invariance of E 1 -degeneracy of the Hodge–de Rham spectral sequence associated with a local system of complex vector spaces.
ISSN:0232-704X
1572-9060
DOI:10.1007/s10455-019-09667-8