Finite Chow-Witt correspondences

Abstract

We introduce the category of finite Chow-Witt correspondences over a perfect field k of characteristic not 2. We then use them to define bigraded generalized motivic cohomology groups of a smooth scheme over k and begin the study of their relationship with ordinary motivic cohomology groups.

This is an extended version of the first part of the previous version. Comments are still welcome

References in corpus (1)

• A cohomological classification of vector bundles on smooth affine threefolds

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