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 퓕, isomorphism 퓕(푈)≃퓕(푥) is established, where is an essentially smooth Henzel scheme with separable residual field. As a consequence, a rigidity theorem is obtained for thepresheaves 푊ⁱ(-× 푌), where is a smooth variety and the 푊ⁱ(-) are the derived Witt groups. It should be noted that the resulting theorem is integer-valued. Other known results are results with finite coefficients.
|Translated title of the contribution||Rigidity theorem for presheaves with Wutt-transfers|
|Journal||АЛГЕБРА И АНАЛИЗ|
|State||Published - 2019|
- RIGIDITY THEOREM
- Presheaves with transfers
- PRESHEAVES WITH WITT-TRANSFERS