曲线和线性系统模空间的完全大地子变量

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。

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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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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