Rigidity theorem for presheaves with Wutt-transfers
A rigidity theorem is proved for homotopy invariant presheaves with a Witt-transfer that are defined on the category of smooth algebraic varieties over a field of characteristic different from 2. Specifically, for such a presheaf 𝓕, isomorphism 𝓕(𝑈)≃𝓕(𝑥) is established, where is an essentially smooth Henzel scheme with separable residual field. As a consequence, a rigidity theorem is obtained for thepresheaves 𝑊ⁱ(-× 𝑌), where is a smooth variety and the 𝑊ⁱ(-) are the derived Witt groups. It should be noted that the resulting theorem is integer-valued. Other known results are results with finite coefficients.