ダウンロード数: 40
このアイテムのファイル:
ファイル | 記述 | サイズ | フォーマット | |
---|---|---|---|---|
B90-03.pdf | 200.19 kB | Adobe PDF | 見る/開く |
タイトル: | Polarized superspecial simple abelian surfaces with real Weil numbers : a survey (Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties) |
著者: | XUE, Jiangwei YU, Chia-Fu |
キーワード: | 11R52 11G10 polarized superspecial abelian surfaces type numbers totally definite quaternion algebras refined class numbers |
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: | 39 |
終了ページ: | 57 |
抄録: | In this survey article we describe recent results of explicit formulae for (a) the number of superspecial abelian surfaces over Fq with real Frobenius endomorphism √q equipped with a polarization module; (b) the type number of each genus of these polarized superspecial abelian surfaces; and (c) the refined class and type numbers of such abelian surfaces with a given automorphism group. These formulae suggest an interesting connection with arithmetic genera of Hilbert modular surfaces. |
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/2433/276272 |
出現コレクション: | B90 Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties |
このリポジトリに保管されているアイテムはすべて著作権により保護されています。