具有最大计算Clifford指数的曲线

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2019-04-01 DOI:10.18910/72319

Takaomi Kato, G. Martens

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引用次数: 2

摘要

我们说g属的曲线X具有最大的Clifford指数，如果X的Clifford指数c对于c > 2，由最大可能次d < g的线性级数计算;那么d = 2c + 3resp。D = 2c + 4。对于奇数c，这样的曲线已经在[6]中研究过了。在本文中，我们分析了类似的结果是否/在多大程度上适用于这样的曲线，甚至Clifford指数c。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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CURVES WITH MAXIMALLY COMPUTED CLIFFORD INDEX

We say that a curve X of genus g has maximally computed Clifford index if the Clifford index c of X is, for c > 2, computed by a linear series of the maximum possible degree d < g; then d = 2c + 3 resp. d = 2c + 4 for odd resp. even c. For odd c such curves have been studied in [6]. In this paper we analyze if/how far analoguous results hold for such curves of even Clifford index c.

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来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.