Cohomological Invariants in Positive Characteristic
| Autor: | Burt Totaro |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Differential form Galois cohomology General Mathematics 010102 general mathematics K-Theory and Homology (math.KT) Group Theory (math.GR) Mathematics::Algebraic Topology 01 natural sciences Motivic cohomology Mathematics - Algebraic Geometry Mathematics::K-Theory and Homology Symmetric group Mathematics - K-Theory and Homology 0103 physical sciences Affine group FOS: Mathematics 010307 mathematical physics 0101 mathematics Algebraic Geometry (math.AG) Mathematics - Group Theory Mathematics |
| Zdroj: | International Mathematics Research Notices. 2022:7152-7201 |
| ISSN: | 1687-0247 1073-7928 |
| DOI: | 10.1093/imrn/rnaa321 |
| Popis: | 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. 37 pages |
| Databáze: | OpenAIRE |
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