曲线和线性系统模空间的完全大地子变量

IF 0.9 2区数学 Q2 MATHEMATICS

International Mathematics Research Notices Pub Date : 2024-08-01 DOI:10.1093/imrn/rnae165

Frederik Benirschke

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引用次数: 0

摘要

我们在曲线模空间的完全大地子维中构造了一个一般曲线上的线性系统。因此，我们得到了维数至少为 2 的完全大地子维的秩界。此外，这还引出了维数至少为二的完全大地子维在最多有两个零的层中的分类。

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Totally Geodesic Subvarieties of the Moduli Space of Curves and Linear Systems

We construct a linear system on a general curve in a totally geodesic subvariety of the moduli space of curves. As a consequence, one obtains rank bounds for totally geodesic subvarieties of dimension at least two. Furthermore, this leads to a classification of totally geodesic subvarieties of dimension at least two in strata with at most two zeros.

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来源期刊

International Mathematics Research Notices 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

316

审稿时长

1 months

期刊介绍： International Mathematics Research Notices provides very fast publication of research articles of high current interest in all areas of mathematics. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics.