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Towards conservativity of ????m–stabilization

Bachmann, Tom ; Yakerson, Maria


We study the interplay of the homotopy coniveau tower, the Rost-Schmid complex of a strictly homotopy invariant sheaf, and homotopy modules. For a strictly homotopy invariant sheaf M, smooth k-scheme X and q >= 0, we construct a new cycle complex C* (X, M, q) and we prove that in favorable cases, C * (X, M, q) is equivalent to the homotopy coniveau tower M-(q) (X). To do so we establish moving ...


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