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arxiv: 1504.00537 · v1 · pith:75QA2POSnew · submitted 2015-04-02 · 🧮 math.AG · math.AT

Verdier hypercovering theorem for motivic spectra

classification 🧮 math.AG math.AT
keywords motiviccohomologycomplexetalehypercoveringspectratheoremverdier
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We prove a Verdier Hypercovering Theorem for cohomology theories arising from motivic spectra. This allows us to construct for smooth quasi-projective complex varieties a natural morphism from etale algebraic to Hodge filtered complex cobordism, which extends the map from etale motivic to Deligne-Beilinson cohomology.

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