标题： 奇异范畴和完备交群的对偶性 显示英文标题

标题： The singularity category and duality for complete intersection groups

摘要： 如果G是一个有限群，模表示理论的一些方面取决于上链C^*(BG; k)，将其视为一个交换环谱。我们在这里考虑其奇点范畴（作者和Stevenson在arxiv 1702.07957中的意义），并证明如果C^*(BG; k)在强意义上是同伦完备交集，那么奇点范畴是连通环谱C_*(\Omega BG_p)的k零化物的有界导出范畴。在此过程中，我们为这些群的C_*(\Omega BG_p)建立了形式的Gorenstein对偶性。[v2扩展了关于局部化的章节，更详细的压缩分解说明，并添加了例子。] 显示英文摘要

摘要： If G is a finite group, some aspects of the modular representation theory depend on the cochains C^*(BG; k), viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson arxiv 1702.07957) and show that if C^*(BG; k) is a homotopical complete intersection in a strong sense, then the singularity category is the bounded derived category of the k-nullification of the connective ring spectrum C_*(\Omega BG_p). In the course of this we establish a form of Gorenstein duality for C_*(\Omega BG_p) for these groups. [v2 has expanded sections on localization, better account of squeezed resolutions, and added examples.]