完美复形与迹的变形理论

IF 0.5 Q3 MATHEMATICS Annals of K-Theory Pub Date : 2021-04-26 DOI:10.2140/akt.2022.7.651

Max Lieblich, Martin Olsson

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引用次数: 3

摘要

我们证明了在一个场地上的一般滑轮设置中，完美复形的变形理论和它的行列式的变形理论是由轨迹图联系起来的。从具有全局分辨率的环上的模块设置到一般设置的关键技术步骤是使用$K$-理论和更高类别理论实现的。

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Deformation theory of perfect complexes and traces

We show that the deformation theory of a perfect complex and that of its determinant are related by the trace map, in a general setting of sheaves on a site. The key technical step, in passing from the setting of modules over a ring where one has global resolutions to the general setting, is achieved using $K$-theory and higher category theory.

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