|
|||||
|
|
Motivic cohomology of the simplicial motive of a Rost variety |
|
| Authors: | Alexander Merkurjev Andrei Suslin |
| Institution: | a Department of Mathematics, University of California, Los Angeles, CA 90095-1555, USA b Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208-2370, USA |
| Abstract: | We compute the motivic cohomology groups of the simplicial motive Xθ of a Rost variety for an n-symbol θ in Galois cohomology of a field. As an application we compute the kernel and cokernel of multiplication by θ in Galois cohomology. We also show that the reduced norm map on K2 of a division algebra of square-free degree is injective. |
| Keywords: | Primary 14F42 Secondary 11S25 19D50 |
| 本文献已被 ScienceDirect 等数据库收录！ | |