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arXiv · 1710.00594

On the effectivity of spectra representing motivic cohomology theories

Tom Bachmann·Jean Fasel
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Abstract

Let k be an infinite perfect field. We provide a general criterion for a spectrum in the stable homotopy category over k to be effective, i.e. to be in the localizing subcategory generated by the suspension spectra of smooth schemes. As a consequence, we show that two recent versions of generalized motivic cohomology theories coincide.

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Tom Bachmann, Jean Fasel. 2017-10-02. On the effectivity of spectra representing motivic cohomology theories. https://arxiv.org/abs/1710.00594

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