论文标题
淋巴结奇点的分类分辨率的内核
Kernels of categorical resolutions of nodal singularities
论文作者
论文摘要
在本文中，我们研究了淋巴结奇点的衍生类别。我们表明，对于所有节点奇异性，都有一个分类的分辨率，其内核由$ 2 $或$ 3 $ spherical的对象产生，具体取决于尺寸。我们将此结果应用于节点立方四倍的情况，在该情况下，我们将分类分辨率的内核发生器描述为相关度六k3表面的有界派生类别中的对象。 本文源自互动式研讨会和Hausdorff学校“Hyperkähler几何形状”的问题会议之一，波恩，2021年9月6日至10日。
In this paper we study derived categories of nodal singularities. We show that for all nodal singularities there is a categorical resolution whose kernel is generated by a $2$ or $3$-spherical object, depending on the dimension. We apply this result to the case of nodal cubic fourfolds, where we describe the kernel generator of the categorical resolution as an object in the bounded derived category of the associated degree six K3 surface. This paper originated from one of the problem sessions at the Interactive Workshop and Hausdorff School "Hyperkähler Geometry", Bonn, September 6-10, 2021.
