Cohomology of finite group schemes over a field
β Scribed by Eric M. Friedlander; Andrei Suslin
- Publisher
- Springer-Verlag
- Year
- 1997
- Tongue
- English
- Weight
- 578 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0020-9910
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper, we analyze ramification in the sense of Abbes-Saito of a finite flat group scheme over the ring of integers of a complete discrete valuation field of mixed characteristic (0, p). We deduce that its Galois representation depends only on its reduction modulo explicitly computed p-power.
The enumeration of points on (or off) the union of some linear or affine subspaces over a finite field is dealt with in combinatorics via the characteristic polynomial and in algebraic geometry via the zeta function. We discuss the basic relations between these two points of view. Counting points is