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On the blow-up formula of twisted de Rham cohomology

Published 23 Oct 2018 in math.DG | (1810.09653v3)

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.

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