Class field theory for products of open curves over a local field

2017/12/26 by Hiranouchi, Toshiro
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1712.09193

Abstract

We investigate the class field theory for products of open curves over a local field. In particular, we determine the kernel of the reciprocity homomorphism.

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• Class field theory for a product of curves over a local field
• Class field theory for open curves over local fields, II
• Class field theory for open curves over local fields
• Two-Dimensional Local-Global Class Field Theory in Positive Characteristic
• Class field theory for curves over local fields