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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-50926-6_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-50925-9
Online ISBN: 978-3-319-50926-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)