关于曲DG代数的某些“导”范畴的（非）零性
On the (non)vanishing of some "derived" categories of curved dg algebras
摘要：
由于曲dg代数及其上的模具有平方不为零的微分，因此这些对象没有上同调，也没有经典的导出范畴。出于不同的目的，文献中引入了不同的“衍生”类别概念。本文证明了对于某些具体的曲dg代数，这些导出范畴为零。例如，对于初始曲dg代数，其模范畴是预复形范畴，以及dg代数的某些变形，都会发生这种情况。
英文摘要：
Since curved dg algebras, and modules over them, have differentials whose square is not zero, these objects have no cohomology, and there is no classical derived category. For different purposes, different notions of "derived" categories have been introduced in the literature. In this note, we show that for some concrete curved dg algebras, these derived categories vanish. This happens for example for the initial curved dg algebra whose module category is the category of precomplexes, and for certain deformations of dg algebras.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
