Integral models for moduli spaces of G-torsors
[Modèles integraux des espaces de modules de G-torseurs]
Olsson, Martin1
1 University of California Department of Mathematics 970 Evans Hall #3840 Berkeley, CA 94720-3840
Annales de l'Institut Fourier, Tome 62 (2012) no. 4, pp. 1483-1549.

Étant donné un schéma en groupes fini modéré, nous construisons des espaces de modules de G-torseurs sur des variétés algébriques, en utilisant une version en grande dimension de la théorie des morphismes stables tordus dans les champs classifiants.

Given a finite tame group scheme G, we construct compactifications of moduli spaces of G-torsors on algebraic varieties, based on a higher-dimensional version of the theory of twisted stable maps to classifying stacks.

DOI : 10.5802/aif.2728
Classification : 14J15, 14D06, 14D20
Keywords: Compacitification, moduli spaces, torsors
Mot clés : ? ? ?
Olsson, Martin 1

1 University of California Department of Mathematics 970 Evans Hall #3840 Berkeley, CA 94720-3840 
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Olsson, Martin. Integral models for moduli spaces of $G$-torsors. Annales de l'Institut Fourier, Tome 62 (2012) no. 4, pp. 1483-1549. doi : 10.5802/aif.2728. http://www.numdam.org/articles/10.5802/aif.2728/

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