论文标题
对堆栈和费兰派遣的局部结构的配对的Artin代数化
Artin algebraization for pairs with applications to the local structure of stacks and Ferrand pushouts
论文作者
论文摘要
We give a variant of Artin algebraization along closed subschemes and closed substacks.我们的主要应用是封闭式化的封闭式替代品的典范，光滑或构想社区的存在。特别是，我们证明了堆栈及其得出的对应物的局部结构定理，以及沿线性基本封闭替代的存在量化的定理。这些结果确定了费兰求职的存在，这对森林神经的问题积极回答。
We give a variant of Artin algebraization along closed subschemes and closed substacks. Our main application is the existence of étale, smooth, or syntomic neighborhoods of closed subschemes and closed substacks. In particular, we prove local structure theorems for stacks and their derived counterparts and the existence of henselizations along linearly fundamental closed substacks. These results establish the existence of Ferrand pushouts, which answers positively a question of Temkin-Tyomkin.
