6533b821fe1ef96bd127b690

RESEARCH PRODUCT

Holomorphic de Rham Cohomology

Annette HuberStefan Müller-stach

subject

Pure mathematicsMathematics::Algebraic GeometryChern–Weil homomorphismMathematics::K-Theory and HomologyCup productHodge theoryCyclic homologyDe Rham cohomologyEquivariant cohomologyMathematics::Algebraic TopologyČech cohomologyCohomologyMathematics

description

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.

yearjournalcountryeditionlanguage
2017-01-01
https://doi.org/10.1007/978-3-319-50926-6_4