Kummer's theory for function fields
β Scribed by Shozo Okada
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 169 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0022-314X
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π SIMILAR VOLUMES
Let C be a smooth plane quartic curve over a field k and k C be a rational function field of C. We develop a field theory for k C in the following method. Let Ο P be the projection from C to a line l with a center P β 2 . The Ο P induces an extension field k C /k 1 , where k 1 is a maximal rational
Let P be a monic irreducible polynomial in F q [T ] such that d=deg P is even. We have obtained (B. AngleΓ s, 1999, J. Number Theory 79, 258 283), when q is odd, a class number congruence modulo P for the ideal class number of F q [T, -P] which is similar to the famous Ankeny Artin Chowla formula. A
We use a Hodge decomposition and its generalization to non-abelian flat vector bundles to calculate the partition function for abelian and non-abelian BF theories in \(n\) dimensions. This enables us to provide a simple proof that the partition function is related to the Ray-Singer torsion defined o