标题： 平差分层的端点 显示英文标题

标题： Ends of the strata of differentials

摘要： 我们枚举了黎曼面上具有指定零点和极点重数的亚纯1形式各层的端点。 我们的证明使用了基于Bainbridge-Chen-Gendron-Grushevsky-Möller构造多尺度微分模空间的退化技术，以及Lee-Wong最近对广义层连通分支分类的结果。 特别是，从这些结果中，我们迅速推导出了Boissy最初证明的全纯1形式的定理。 显示英文摘要

摘要： We enumerate the ends of each stratum of meromorphic 1-forms on Riemann surfaces with prescribed multiplicities of zeroes and poles. Our proof uses degeneration techniques based on the construction by Bainbridge-Chen-Gendron-Grushevsky-Moeller of the moduli space of multi-scale differentials, together with recent classification of connected components of generalized strata by Lee-Wong. In particular, from these results we quickly deduce the theorem for holomorphic 1-forms, originally proved by Boissy.