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Remarks on \'etale motivic stable homotopy theory
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Remarks on \'etale motivic stable homotopy theory
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We strengthen some results in \'etale (and real \'etale) motivic stable homotopy theory, by eliminating finiteness hypotheses, additional localizations and/or extending to spectra from HZ-modules.
Forward citations
Cited by 3 Pith papers
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Descendability and descent in topological weaves
Finitely presented surjections of algebraic spaces are descendable in topological weaves, yielding v-descent for rational motivic sheaves and h-descent for étale motivic spectra under bounded cohomological dimension.
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Descendability and descent in topological weaves
A general descendability criterion for topological six-functor formalisms yields h-descent for étale motivic spectra and rational motivic cohomology, plus arc-descent in weights ≤1.
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Nori motives (and mixed Hodge modules) with integral coefficients
Constructs abelian categories of integral Nori motivic sheaves over char-0 schemes with six operations and arc-descent via an algebra in étale motives, plus parallel results for mixed Hodge modules.
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