论文标题
关于Lurie代表性定理的评论
A Remark on Lurie's Representability Theorem
论文作者
论文摘要
在本说明中，我们重新访问Lurie的几何堆栈定理，并证明其中一种条件可以轻松放松。该证明使用了霍尔（Hall）的想法 - 莱德（Rydh）在（古典）Artin的代表性定理上的工作。我们还阐明了主要定理的几个变体，并回顾了变形理论和均匀性条件之间的关系。
In this note we revisit Lurie's representability theorem for geometric stacks and prove that one of the conditions can be mildly relaxed. The proof uses ideas from Hall--Rydh's work on the (classical) Artin's representability theorem. We also spell out a couple of variants of the main theorem and review the relation between deformation theory and homogeneity conditions on prestacks.
