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Class field theory for open curves overp-adic fields

✍ Scribed by Toshiro Hiranouchi

Publisher: Springer-Verlag
Year: 2009
Tongue: French
Weight: 171 KB
Volume: 266
Category: Article
ISSN: 0025-5874
DOI: 10.1007/s00209-009-0556-1

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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 π P be the projection from C to a line l with a center P ∈ 2 . The π P induces an extension field k C /k 1 , where k 1 is a maximal rational