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dc.contributor.author | KUDO, Momonari | en |
dc.date.accessioned | 2022-09-14T08:23:08Z | - |
dc.date.available | 2022-09-14T08:23:08Z | - |
dc.date.issued | 2022-06 | - |
dc.identifier.uri | http://hdl.handle.net/2433/276274 | - |
dc.description.abstract | 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. | en |
dc.language.iso | eng | - |
dc.publisher | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.publisher.alternative | 京都大学数理解析研究所 | ja |
dc.rights | © 2022 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. Printed in Japan. | en |
dc.subject | 14G15 | en |
dc.subject | 14G17 | en |
dc.subject | 14H45 | en |
dc.subject | 14Q05 | en |
dc.subject | Curves of low genera | en |
dc.subject | Curves over finite fields | en |
dc.subject | Superspecial curves | en |
dc.subject.ndc | 410 | - |
dc.title | Counting isomorphism classes of superspecial curves (Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties) | en |
dc.type | departmental bulletin paper | - |
dc.type.niitype | Departmental Bulletin Paper | - |
dc.identifier.ncid | AA12196120 | - |
dc.identifier.jtitle | 数理解析研究所講究録別冊 | ja |
dc.identifier.volume | B90 | - |
dc.identifier.spage | 77 | - |
dc.identifier.epage | 95 | - |
dc.textversion | publisher | - |
dc.sortkey | 05 | - |
dc.address | Graduate School of Information Science and Technology, The University of Tokyo | en |
dcterms.accessRights | open access | - |
datacite.awardNumber | 20K14301 | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20K14301/ | - |
dc.identifier.pissn | 1881-6193 | - |
dc.identifier.jtitle-alternative | RIMS Kokyuroku Bessatsu | en |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.awardTitle | 計算代数手法に基づく正標数の代数曲線に関する研究の深化と暗号応用への展望 | ja |
出現コレクション: | B90 Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties |
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