论文标题
模棱两可的稳定滑轮和感谢
Equivariant stable sheaves and toric GIT
论文作者
论文摘要
对于（x，l）（x，l）的（x，l）的自动形态的两极分化的旋转曲线，用y表示git商x/g。我们将一个完全忠实的函数定义为y上的y torus equivariant反光套管的类别。作为一种应用，当（x，l）是尺寸N的偏光曲叶孔时，我们将（x，l）上的稳定的含量反射式滑轮与某些（N-1）维权加权的投射空间上的（x，l）上的（x，l）上的稳定的eproivariast反身套管联系起来。
For (X,L) a polarized toric variety and G a torus of automorphisms of (X,L), denote by Y the GIT quotient X/G. We define a family of fully faithful functors from the category of torus equivariant reflexive sheaves on Y to the category of torus equivariant reflexive sheaves on X. We show, under a genericity assumption on G, that slope stability is preserved by these functors if and only if the pair ((X, L), G) satisfies a combinatorial criterion. As an application, when (X,L) is a polarized toric orbifold of dimension n, we relate stable equivariant reflexive sheaves on (X, L) to stable equivariant reflexive sheaves on certain (n-1)-dimensional weighted projective spaces.
