nLab
absolute cohomology

Contents

Idea

Roughly something like a combination of a “geometric” and an arithmetic concept of cohomology.

Examples

• absolute Hodge cohomology

• syntomic cohomology

• motivic cohomology

References

• Roy Joshua, K-Theory and Absolute Cohomology for algebraic stacks (KTheory)

• Cohomology Theory Database, Absolute cohomology

• Jan Nekovar, section 3 of Beilinson’s Conjectures (pdf)