栈的函子重构定理
Functorial reconstruction theorems for stacks
摘要：
我们研究的情况下，人们可以重建一个堆栈从其相关函子的同构类。这是可能的，令人惊讶的是，经常：我们表明，许多标准的例子，模栈是由他们的函子。我们的方法似乎表现出新的anabelian类型的现象，在编码群胚中的自同构数据的方案的类别中的结构的形式。
英文摘要：
We study the circumstances under which one can reconstruct a stack from its associated functor of isomorphism classes. This is possible surprisingly often: we show that many of the standard examples of moduli stacks are determined by their functors. Our methods seem to exhibit new anabelian-type phenomena, in the form of structures in the category of schemes that encode automorphism data in groupoids.
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。
