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- Tags: - #todo/untagged - Refs: - #todo/add-references - Links: - motivic cohomology - etale cohomology - absolute Hodge cohomology - syntomic cohomology
arithmetic cohomology
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- Tags: - #todo/untagged - Refs: - #todo/add-references - Links: - motivic cohomology - etale cohomology - absolute Hodge cohomology - syntomic cohomology
Computation in Hodge cohomology using the plectic conjecture, for abelian characters of CM fields and Hilbert modular forms.
Yields a definition of a category of mixed Hodge structures:
Expected to exist for arithmetic cohomology of a Shimura variety, using toroidal compactification
See Tannakian categories.