标题： 奇异层在光滑的环面簇和堆栈上 显示英文标题

标题： Perverse sheaves on smooth toric varieties and stacks

摘要： 通常，仅使用其作为$t$-结构的心的定义来研究一个代数簇上的 perverse sheaves 类别并不直接。在本文中，光滑 toric 变量上带有轨道分层的 perverse sheaves 类别被明确描述为某个代数的有限维模类别。对于各种等变 perverse sheaves 类别也建立了类似的结果，这特别给出了 toric orbifolds 上 perverse sheaves 的描述，我们还比较了 perverse sheaves 类别的导出范畴与可构造 sheaves 的导出范畴。 显示英文摘要

摘要： It is usually not straightforward to work with the category of perverse sheaves on a variety using only its definition as a heart of a $t$-structure. In this paper, the category of perverse sheaves on a smooth toric variety with its orbit stratification is described explicitly as a category of finite-dimensional modules over an algebra. An analogous result is also established for various categories of equivariant perverse sheaves, which in particular gives a description of perverse sheaves on toric orbifolds, and we also compare the derived category of the category of perverse sheaves to the derived category of constructible sheaves.