具有最大计算Clifford指数的曲线

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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