数学
余维数
诺瑟人
纯数学
交换性质
局部环
交换环
域代数上的
戒指(化学)
化学
有机化学
作者
Michal Hrbek,Tsutomu Nakamura,Jan Šťovíček
出处
期刊:Nagoya Mathematical Journal
[Cambridge University Press]
日期:2024-03-15
卷期号:: 1-76
被引量:1
摘要
Abstract In the derived category of a commutative noetherian ring, we explicitly construct a silting object associated with each sp-filtration of the Zariski spectrum satisfying the “slice” condition. Our new construction is based on local cohomology and it allows us to study when the silting object is tilting. For a ring admitting a dualizing complex, this occurs precisely when the sp-filtration arises from a codimension function on the spectrum. In the absence of a dualizing complex, the situation is more delicate and the tilting property is closely related to the condition that the ring is a homomorphic image of a Cohen–Macaulay ring. We also provide dual versions of our results in the cosilting case.
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