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Holomorphic de Rham Cohomology

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Periods and Nori Motives

Abstract

We are going to define a natural comparison isomorphism between algebraic de Rham cohomology and singular cohomology of varieties over the complex numbers with coefficients in \(\mathbb {C}\). The link is provided by holomorphic de Rham cohomology, which we study in this chapter.

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Correspondence to Annette Huber .

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Huber, A., Müller-Stach, S. (2017). Holomorphic de Rham Cohomology. In: Periods and Nori Motives. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 65. Springer, Cham. https://doi.org/10.1007/978-3-319-50926-6_4

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