Functorial reconstruction theorems for stacks

JOURNAL OF ALGEBRA

卷:322

Article

Lieblich, Max²  Osserman, Brian¹ 

[1] Univ Calif Davis, Davis, CA 95616 USA

[2] Univ Washington, Dept Math, Seattle, WA 98195 USA

关键词: Stacks;    Functors;    Reconstruction;    Isonatural;   

DOI  :  10.1016/j.jalgebra.2009.08.009

来源: Elsevier

【 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-style phenomena, in the form of structures in the category of schemes that encode automorphism data in groupoids. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free