在爆炸流形中曲线的通用热带结构
Universal tropical structures for curves in exploded manifolds
AI总结：
本文构造了包含稳定曲线f的曲线族f^，其具有通用热带结构，其他包含f的曲线族局部上是f^的微小修改。
摘要：
对于任何稳定曲线f在爆炸流形中，本文构造了一族曲线f^具有通用热带结构，包含f。此类族具有性质：任何其他包含f的曲线族局部上是通过f^的微小修改。因此，具有通用热带结构的曲线族在分析曲线模堆和构造爆炸流形的Gromov-Witten不变量中起重要作用。
英文摘要：
For any stable curve $f$ in an exploded manifold, this paper constructs a family of curves $\hat f$ with universal tropical structure which contains $f$. Such a family has the property that any other family of curves containing $f$ is locally a small modification of a family which factors through $\hat f$. As such, families of curves with universal tropical structure play an important role in the analysis of the moduli stack of curves and the construction of Gromov-Witten invariants of exploded manifolds.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
