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• W2904234802 endingPage "107446" @default.
• W2904234802 startingPage "107446" @default.
• W2904234802 abstract "We prove several Kunneth formulas in motivic homotopy categories and deduce a Verdier pairing in these categories following SGA5, which leads to the characteristic class of a constructible motive, an invariant closely related to the Euler-Poincar'e characteristic. We prove an additivity property of the Verdier pairing using the language of derivators, following the approach of May and Groth-Ponto-Shulman; using such a result we show that in the presence of a Chow weight structure, the characteristic class for all constructible motives is uniquely characterized by proper covariance, additivity along distinguished triangles, refined Gysin morphisms and Euler classes. In the relative setting, we prove the relative Kunneth formulas under some transversality conditions, and define the relative characteristic class." @default.
• W2904234802 created "2018-12-22" @default.
• W2904234802 creator A5042916357 @default.
• W2904234802 creator A5077086612 @default.
• W2904234802 date "2021-01-01" @default.
• W2904234802 modified "2023-09-25" @default.
• W2904234802 title "Künneth formulas for motives and additivity of traces" @default.
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• W2904234802 doi "https://doi.org/10.1016/j.aim.2020.107446" @default.
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