Cohomology of presheaves with oriented weak transfers
K-Theory and Homology
2014-05-02 v1
Abstract
Over a field of characteristic zero, we establish the homotopy invariance of the Nisnevich cohomology of homotopy invariant presheaves with oriented weak transfers, and the agreement of Zariski and Nisnevich cohomology for such presheaves. This generalizes a foundational result in Voevodsky's theory of motives. The main idea is to find explicit smooth representatives of the correspondences which provide the input for Voevodsky's cohomological architecture.
Keywords
Cite
@article{arxiv.1405.0176,
title = {Cohomology of presheaves with oriented weak transfers},
author = {Joseph Ross},
journal= {arXiv preprint arXiv:1405.0176},
year = {2014}
}
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