Hasse principle for classical groups over function fields of curves over number fields
β Scribed by R. Parimala; R. Preeti
- Book ID
- 108346512
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 422 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let k be a field of characteristic not equal to 2. For nZ1; let H n Γ°k; Z=2Γ denote the nth Galois Cohomology group. The classical Tate's lemma asserts that if k is a number field then given finitely many elements a 1 ; ?; a n AH 2 Γ°k; Z=2Γ; there exist a; b 1 ; ?; b n Ak Γ such that a i ΒΌ Γ°aΓ,Γ°b i
We consider the algebraic K-groups with coe cients of smooth curves over number ΓΏelds. We give a proof of the Quillen-Lichtenbaum conjecture at the prime 2 and prove explicit corank formulas for the algebraic K-groups with divisible coe cients. At odd primes these formulas assume the Bloch-Kato conj
We study the level of nonformally real function fields of surfaces over number fields and show that it is at most 4 for a large class of surfaces.  2002 Elsevier Science (USA) The level of a field F is the least integer n such that -1 is expressible as a sum of n squares in F. If -1 is not a sum o