论文标题
可抗性旋转曲线的模量空间
The moduli space of quasistable spin curves
论文作者
论文摘要
我们研究了theta特征的模量空间的压缩，从而给出了几何点的模块化解释并描述了边界分层。该空间与自旋曲线的模量空间不同。新紧凑型的模块化描述和边界分层由热带模量空间编码。我们表明，这种热带模量空间是自旋热带曲线的模量空间的改进。我们明确描述其锥体的诱导分解。
We study a compactification of the moduli space of theta characteristics, giving a modular interpretation of the geometric points and describing the boundary stratification. This space is different from the moduli space of spin curves. The modular description and the boundary stratification of the new compactification are encoded by a tropical moduli space. We show that this tropical moduli space is a refinement of the moduli space of spin tropical curves. We describe explicitly the induced decomposition of its cones.
