Non-divisible cycles on surfaces over local fields |
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Authors: | Kanetomo Sato |
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Institution: | Graduate School of Mathematics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8602, Japan |
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Abstract: | In this paper, we are concerned with the reciprocity map of unramified class field theory for smooth projective surfaces over non-archimedean local fields which do not have potentially good reduction. We will construct two types of smooth projective surfaces whose reciprocity maps modulo positive integers are not injective. The first type is the case where the kernel of the reciprocity map is not divisible. The second is the case where the kernel of the reciprocity map is divisible, but where nevertheless the reciprocity map modulo some integer is not injective. |
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Keywords: | primary 19F05 secondary 11G45 14C25 14J28 |
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