On the blow-up formula of twisted de Rham cohomology

Abstract

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 to a local system of complex vector spaces.

12 pages. Comments are welcome!