{ "id": "1712.09193", "version": "v1", "published": "2017-12-26T07:09:35.000Z", "updated": "2017-12-26T07:09:35.000Z", "title": "Class field theory for products of open curves over a local field", "authors": [ "Toshiro Hiranouchi" ], "categories": [ "math.NT" ], "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.", "revisions": [ { "version": "v1", "updated": "2017-12-26T07:09:35.000Z" } ], "analyses": { "keywords": [ "class field theory", "open curves", "local field", "reciprocity homomorphism" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }