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B90-08.pdf | 202.3 kB | Adobe PDF | 見る/開く |
タイトル: | Isogeny graphs of superspecial abelian varieties (Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties) |
著者: | JORDAN, Bruce W. |
発行日: | Jun-2022 |
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: | B90 |
開始ページ: | 131 |
終了ページ: | 144 |
抄録: | We define three different isogeny graphs of principally polarized superspecial abelian varieties, prove foundational results on them, and explain their role in number theory and geometry. This is background to joint work with Yevgeny Zaytman on properties of these isogeny graphs for dimension g > 1, especially the result that they are connected, but not in general Ramanujan. |
著作権等: | © 2022 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. Printed in Japan. |
URI: | http://hdl.handle.net/2433/276277 |
出現コレクション: | B90 Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties |
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