#### Volume 17, issue 1 (2013)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Editorial Procedure Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1364-0380 ISSN (print): 1465-3060 Author Index To Appear Other MSP Journals
Deriving Deligne–Mumford stacks with perfect obstruction theories

### Timo Schürg

Geometry & Topology 17 (2013) 73–92
##### Abstract

We show that every $n$–connective quasi-coherent obstruction theory on a Deligne–Mumford stack comes from the structure of a connective spectral Deligne–Mumford stack on the underlying topos. Working over a base ring containing the rationals, we obtain the corresponding result for derived Deligne–Mumford stacks.

##### Keywords
perfect obstruction theory, derived moduli space
##### Mathematical Subject Classification 2010
Primary: 14A20, 18G55
Secondary: 55P43