论文标题
差分层的线性次级方程
Equations of linear subvarieties of strata of differentials
论文作者
论文摘要
For a linear subvariety $M$ of a stratum of meromorphic differentials, we investigate its closure in the multi-scale compactification constructed by Bainbridge-Chen-Gendron-Grushevsky-Möller.我们证明了对$ m $边界的$ m $定义线性方程的类型的各种限制，并证明了封闭是局部的福特式品种。作为应用，我们从根本上给出了赖特圆柱变形定理的概括性的新证明，并为Meromorormormormormorphic Strata案例提供了平滑的压实，即对Riemann Sphere盖的Hurwitz空间进行平滑的压实。
For a linear subvariety $M$ of a stratum of meromorphic differentials, we investigate its closure in the multi-scale compactification constructed by Bainbridge-Chen-Gendron-Grushevsky-Möller. We prove various restrictions on the type of defining linear equations in period coordinates for $M$ near its boundary, and prove that the closure is locally a toric variety. As applications, we give a fundamentally new proof of a generalization of the cylinder deformation theorem of Wright to the case of meromorphic strata, and construct a smooth compactification of the Hurwitz space of covers of the Riemann sphere.
