Arithmetic of Algebraic Tori
Arithmetic of Algebraic Tori
复制标题
代数 Tori 的算术
DOI:
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发表时间:
1961
期刊:
影响因子:
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通讯作者:
T. Ono
中科院分区:
文献类型:
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作者:
T. Ono
Introduction ? 0. Notation and conventions ? 1. Arbitrary fields 1.1. Duality 1.2. Splitting fields 1.3. Isogenies 1.4. Raising the field of definition 1.5. A structure theorem 1.6. Differential forms ? 2. Local fields 2.1. Maximal compact groups 2.2. Isogenies 2.3. Reduction modulo p ? 3. Fields of dimension 1 3.1. Adelization 3.2. Haar measures 3.3. Canonical correcting factors 3.4. The number p(X, K/k) 3.5. Definition of z(T) 3.6. Isogenies 3.7. Definition of r(a) 3.8. Explicit formula for C(CJA,Ir, (T)k) (resp. c()A, r)) 3.9. Explicit formula for r(cr) 3.10. Main theorem References