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- Refs:
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Links:
- rigid analytic motivic cohomology.
- six functor formalism
- motive
- motivic Borel-Moore homology
- mixed motives
- higher Chow groups
motivic cohomology
Recovers Chow group in algebraic settings.
Example
motivic cohomology
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unresolved links output
motivic Borel-Moore homology in Unsorted/motivic cohomology
- the category of motives
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prismatic cohomology
See Tate twist, motivic cohomology.
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motive
There is a conjecture tensor category of mixed motives where taking $\operatorname{Ext} $ recovers motivic cohomology, which should coincide with something predicted by algebraic K theory. Constructing this involves motivic homotopy theory.
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higher Chow groups
See Grothendieck-Riemann-Roch. Higher Chow is a candidate for motivic cohomology:
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arithmetic cohomology
- Tags: - #todo/untagged - Refs: - #todo/add-references - Links: - motivic cohomology - etale cohomology - absolute Hodge cohomology - syntomic cohomology