Relative stable categories and birationality
Relative stable categories and birationality
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DOI：
10.1112/jlms.12474
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发表时间：
2020-03
期刊：
影响因子：
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通讯作者：
Paul Balmer;Greg Stevenson
中科院分区：
文献类型：
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作者：
Paul Balmer;Greg Stevenson
我们提出了一种构造新的三角范畴（相对稳定范畴）作为给定范畴的加性商的一般方法。这种构造增强了Bkillannis的结果，特别是在张量三角形设置中。我们证明了一个双合理性结果，表明原范畴和它的相对稳定商在它们的谱的某个开段上是等价的。
We propose a general method to construct new triangulated categories, relative stable categories, as additive quotients of a given one. This construction enhances results of Beligiannis, particularly in the tensor‐triangular setting. We prove a birationality result, showing that the original category and its relative stable quotient are equivalent on some open piece of their spectrum.