Article contents
Motivic cohomology spectral sequence and Steenrod operations
Published online by Cambridge University Press: 24 June 2016
Abstract
For a prime number $p$, we show that differentials $d_{n}$ in the motivic cohomology spectral sequence with $p$-local coefficients vanish unless $p-1$ divides $n-1$. We obtain an explicit formula for the first non-trivial differential $d_{p}$, expressing it in terms of motivic Steenrod $p$-power operations and Bockstein maps. To this end, we compute the algebra of operations of weight $p-1$ with $p$-local coefficients. Finally, we construct examples of varieties having non-trivial differentials $d_{p}$ in their motivic cohomology spectral sequences.
MSC classification
- Type
- Research Article
- Information
- Copyright
- © The Author 2016
References
- 1
- Cited by