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تسجيل مستخدم جديدStable motivic invariants are eventually etale local
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In this paper we prove a Thomason-style descent theorem for the $rho$-complete sphere spectrum. In particular, we deduce a very general etale descent result for torsion, $rho$-complete motivic spectra. To this end, we prove a new convergence result for slice spectral sequence in the $rho$-complete motivic category, following Levines work. This generalizes and extends previous etale descent results for motivic cohomology theories which, combined with etale rigidity results, gives a complete, structural description of the etale motivic stable category.
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