违反斜率不等式的代数曲线

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2015-04-01 DOI:10.18910/57641

Takaomi Kato, G. Martens

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引用次数: 3

摘要

广义曲线的正交序列(dr)r 1，对于< g，编码了关于该曲线的除数理论的重要信息。大多数情况下，计算这个序列是非常困难的。一般来说，它的增长相当适度(在下面精确地说明)，但对于具有特殊模量的曲线，可能会出现一些“意外跳跃”m。我们首先确定所有的整数> 0，使得不存在这样的跳跃，对于所有的genusg曲线。其次，我们计算了极值空间曲线(即极大几何属空间曲线)的交性序列的前导数(不超过rd19)。

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Algebraic curves violating the slope inequalities

The gonality sequence ( dr )r 1 of a curve of genusg encodes, for < g, important information about the divisor theory of the curve. Mostly i is very difficult to compute this sequence. In general it grows rather modestly ( made precise below) but for curves with special moduli some “unexpected jumps” m ay occur in it. We first determine all integersg > 0 such that there is no such jump, for all curves of genusg. Secondly, we compute the leading numbers (up to r D 19) in the gonality sequence of an extremal space curve, i.e. of a space curve of maximal geometric genus w.r.t. its degree.

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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.