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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B86-10.pdf | 509.79 kB | Adobe PDF | 見る/開く |
| タイトル: | Shafarevich予想について |
| その他のタイトル: | On the Shafarevich conjecture (Algebraic Number Theory and Related Topics 2018) |
| 著者: | 高松, 哲平  |
| 著者名の別形: | Takamatsu, Teppei |
| キーワード: | 11G35 14J28 Shafarevich conjecture abelian varieties K3 surfaces |
| 発行日: | Jul-2021 |
| 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: | B86 |
| 開始ページ: | 177 |
| 終了ページ: | 198 |
| 抄録: | The Shafarevich conjecture, known as a geometric analogue of the Hermite-Minkowski theorem, states the finiteness of certain varieties over a fixed number field admitting good reduction away from a fixed finite set of finite places. In the abelian varieties of a fixed dimension case, this conjecture was proved by Faltings-Zarhin and applied to the Mordell conjecture. Moreover, the author proved a certain generalization of this conjecture in the K3 surfaces case. In the first part of this survey, we will sketch the proof of Faltings-Zarhin and its relation to the Mordell conjecture, and the second part we will present the result of the author. |
| 記述: | Algebraic Number Theory and Related Topics 2018. November 26-30, 2018. edited by Takao Yamazaki and Shuji Yamamoto. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2021 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/265155 |
| 出現コレクション: | B86 Algebraic Number Theory and Related Topics 2018 |
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