ダウンロード数: 111
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 | |
---|---|---|---|---|
B90-05.pdf | 228.28 kB | Adobe PDF | 見る/開く |
タイトル: | Counting isomorphism classes of superspecial curves (Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties) |
著者: | KUDO, Momonari |
キーワード: | 14G15 14G17 14H45 14Q05 Curves of low genera Curves over finite fields Superspecial curves |
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: | 77 |
終了ページ: | 95 |
抄録: | A superspecial curve is a (non-singular) curve over a field of positive characteristic whose Jacobian variety is isomorphic to a product of supersingular elliptic curves over the algebraic closure. It is known that for given genus and characteristic, there exist only finitely many superspecial curves, up to isomorphism over an algebraically closed field. In this article, we give a brief survey on results of counting isomorphism classes of superspecial curves. In particular, this article summarizes some recent results in the case of genera four and five, obtained by the author and S. Harashita. We also survey results obtained in a joint work with Harashita and E. W. Howe, on the enumeration of superspecial curves in a certain class of non-hyperelliptic curves of genus four. |
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/2433/276274 |
出現コレクション: | B90 Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties |
![](/dspace/image/articlelinker.gif)
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。