Astérisque

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"296" Result

This work applies Gabber's theorem on alterations to Voevodsky's work on mixed motives. We extend many fundamental theorems to DM(k, Z[1/p]) where p is the exponential characteristic of the perfect field k. Two applications are an isomorphism of Suslin that compares higher Chow …

In this text, the author presents a general framework for applying the standard methods from homotopy theory to the category of smooth schemes over a reasonable base scheme $k$. He defines the homotopy category $h(\mathcal{E} k)$ of smooth $k$-schemes and shows that it plays the…