- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 $p$-Adic Heights Commun. Korean Math. Soc. 2000 Vol. 15, No. 1, 37-44 Kyung Ah Shim, Sung Sik Woo Ewha Womans University, Ewha Womans University Abstract : In this paper, for a given $p$-adic quasicharacter $c_v:k_v^* \rightarrow \Bbb Q_p$ satisfying a special condition, we will explicitly construct an admissible pairing corresponding to $c_v$. We define a $p$-adic height on the arbitrary abelian varieties associated to divisors and $c_v$ by using admissible pairings at every nonarchimedean places. We also show that our $p$-adic height satisfies similar properties of N\'eron-Tate's canonical $p$-adic height. Keywords : $p$-adic height, $p$-adic quasicharacter, admissible pairing MSC numbers : Primary 14K15 Downloads: Full-text PDF

 Copyright © Korean Mathematical Society. The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd