Abstract:The rigidity theorem for homotopy invariant presheaves with Witt-transfers on the category of smooth schemes over a field of characteristic different form two is proved. Namely, for any such sheaf , isomorphism is established, where is an essentially smooth local Henselian scheme with a separable residue field over . As a consequence, the rigidity theorem for the presheaves for any smooth over is obtained, where the are derived Witt groups. Note that the result of the work is rigidity with integral coefficients. Other known results are state isomorphisms with finite coefficients.

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中文翻译：

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带维特传递的预滑轮的刚度定理

摘要：证明了在具有不同形式的特征二的区域上，在光滑格式的范畴内，具有维特转移的同伦不变滑轮的刚性定理。即，对于任何这样的捆，建立同构，其中存在基本上光滑的局部Henselian方案，其上具有可分离的残基场。因此，对于presheaves刚性定理为任何平滑过获得，其中，所述导出维特基团。注意，功的结果是具有积分系数的刚性。其他已知结果是具有有限系数的状态同构。

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