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Weil cohomology
See Algebraic de Rham, crystalline cohomology, l-adic cohomology
Motivations
Primarily the Weil Conjectures:
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See Algebraic de Rham, crystalline cohomology, l-adic cohomology
Primarily the Weil Conjectures:
Relation to Weil cohomology for smooth and proper schemes, algebraic de Rham cohomology, and Witt vectors