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Conics with a Hermitian curve
http://hdl.handle.net/10487/7831
http://hdl.handle.net/10487/7831d92a11e0-9fab-4911-a831-7d6d07acf1db
名前 / ファイル | ライセンス | アクション |
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Item type | 会議発表論文 / Conference Paper(1) | |||||
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公開日 | 2010-12-03 | |||||
タイトル | ||||||
タイトル | Conics with a Hermitian curve | |||||
言語 | ||||||
言語 | jpn | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_5794 | |||||
資源タイプ | conference paper | |||||
著者 |
本間, 正明
× 本間, 正明× Homma, Masaaki |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | A Hermitian curve X is a plane curve of degree q +1 which is projectively equivalent to the plane curve with the inhomogeneous equation yq +y = xq+1 over the finite field Fq2 of q2 elements, which has q3+1 Fq2-rational points. The geometry of lines over Fq2 harmonizes with those points, that is to say, a line over Fq2 either tangents to X at an Fq2-rational point with multiplicity q + 1 or meets X in exactly q+1 Fq2-rational points. For the conics over Fq2, we can not expect them to behave well with the Fq2-rational points of X, however, in the joint research with Seon Jeong Kim on the two-point codes on X, we met a certain family of conics over Fq2 whose behavior on the Fq2-rational points of X seemed interesting. | |||||
書誌情報 |
THE REPORTS of Symposium on Algebraic Geometry at Niigata 2004 p. 01-09, 発行日 2004 |
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著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | 新潟大学 吉原久夫 | |||||
資源タイプ | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article |