论文标题
三角类别的cosupport
Cosupport for triangulated categories
论文作者
论文摘要
本文的目的是更好地理解三角类别中的cosupport，因为它仍然很神秘。我们使用koszul对象研究了局部共同体学和局部同源性函子的界限，给出了一些余量的特征，并获得一些结果，在特殊情况下，这些结果恢复并概括了有关通常的cosupport的已知结果。我们还包括一些cosupport的计算，解决支持的比较和共同体有限的对象的余量。最后，我们将$ \ mathrm {spec} r $的子集分配给类别的任何对象，称为大cosupport。
The goal of the article is to better understand cosupport in triangulated categories since it is still quite mysterious. We study boundedness of local cohomology and local homology functors using Koszul objects, give some characterizations of cosupport and get some results that, in special cases, recover and generalize the known results about the usual cosupport. Also we include some computations of cosupport, settle the comparison of support and cosupport of cohomologically finite objects. Finally, we assign to any object of the category a subset of $\mathrm{Spec}R$, called the big cosupport.
