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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B64-07.pdf | 4.03 MB | Adobe PDF | 見る/開く |
| タイトル: | $p$進体上の多様体のアルバネーゼ余核について (Algebraic Number Theory and Related Topics 2014) |
| その他のタイトル: | On the Albanese cokernel of varieties over $p$-adic fields (Algebraic Number Theory and Related Topics 2014) |
| 著者: | 甲斐, 亘  |
| 著者名の別形: | Kai, Wataru |
| キーワード: | 14F22 14G20 Albanese map Brauer groups |
| 発行日: | May-2017 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B64 |
| 開始ページ: | 85 |
| 終了ページ: | 92 |
| 抄録: | This is an announcement of results by the author [4]. Let X be a smooth projective variety over a p-adic field K. In this article we present a conjectural formula describing the cokernel of the Albanese map of zero-cycles for X in terms of the N eron-Severi group and sketch a proof that it is true under additional assumptions on an integral model of X. The case where X is a curve has been settled by Lichtenbaum completely. We will also briefly mention the local-global problem for the Albanese-cokernel; the abelian group on the "local side" turns out to be a finite group. |
| 記述: | "Algebraic Number Theory and Related Topics 2014". December 1～5, 2014. edited by Takeshi Tsuji, Hiroki Takahashi and Yuichiro Hoshi. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2017 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/243663 |
| 出現コレクション: | B64 Algebraic Number Theory and Related Topics 2014 |
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