On a motivic interpretation of primitive, variable and fixed cohomology
classification
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cohomologyfixedmotivicprimitivevariableaddressesclassicalcohomological
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This note addresses the motivic nature of some classical cohomological results due to Lefschetz, namely the primitive decomposition (for the cohomology of smooth projective varieties), and, secondly, the splitting of the cohomology of a complete intersection into the "fixed" and "variable part".
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