Holmstrom Geometric cohomology

Geometric cohomology

Article of Nekovar, see page 9.

In Levine’s chapter in the K-theory handbook, he mentions (page 511) a notion of geometric cohomology. This is something more refined than a Bloch-Ogus theory. Examples include de Rham cohomology, singular cohomology, etale cohomology with mod n coefficients. He remarks that although absolute Hodge cohomology, Deligne cohomology, and l-adic etale cohomology do not fit into this framework, “can use same method to define realization functors”.


Geometric cohomology

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Geometric cohomology

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Geometric cohomology

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Geometric cohomology

See also Arithmetic cohomology, Absolute cohomology

nLab page on Geometric cohomology

Created on June 10, 2014 at 21:14:54 by Andreas Holmström