Geodesic
Deriving Deligne–Mumford stacks with perfect obstruction theories
Schürg, Timo1
1 Mathematisches Institut, Universität Bonn, Endenicher Allee 60, D-53115 Bonn, Germany
Geometry & topology, Tome 17 (2013) no. 1, pp. 73-92.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2013.17.73
Classification : 14A20, 18G55, 55P43
Keywords: perfect obstruction theory, derived moduli space

Schürg, Timo 1

1 Mathematisches Institut, Universität Bonn, Endenicher Allee 60, D-53115 Bonn, Germany 
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Schürg, Timo. Deriving Deligne–Mumford stacks with perfect obstruction theories. Geometry & topology, Tome 17 (2013) no. 1, pp. 73-92. doi : 10.2140/gt.2013.17.73. http://geodesic.mathdoc.fr/articles/10.2140/gt.2013.17.73/

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