论文标题
积极特征中的群体不变性
Cohomological invariants in positive characteristic
论文作者
论文摘要
我们确定了在炭分p中的几种仿射组方案G的mod p共同体学不变性。这些是G-Torsors的不变性，具有依托动机共同体的价值，或者是基于差异形式的加洛伊斯的Galois同胞版本。 特别是，我们发现了对称组和特征2中的正交组的mod 2共同体学不变式，这些serre在特征上而不是2中计算出来。我们还确定了对田地的模式动机共同体的所有操作，从而扩展了小瓶对田野的操作的计算。
We determine the mod p cohomological invariants for several affine group schemes G in chararacteristic p. These are invariants of G-torsors with values in etale motivic cohomology, or equivalently in Kato's version of Galois cohomology based on differential forms. In particular, we find the mod 2 cohomological invariants for the symmetric groups and the orthogonal groups in characteristic 2, which Serre computed in characteristic not 2. We also determine all operations on the mod p etale motivic cohomology of fields, extending Vial's computations of the operations on the mod p Milnor K-theory of fields.
