Moduli spaces of slope-semistable pure sheaves
[Espaces de modules de faisceaux purs semi-stables par rapport à la pente]
Pavel, Mihai1
1 Université de Lorraine, IECL, F-54000 Nancy (France)
Annales de l'Institut Fourier, Online first, 46 p.

Nous construisons un espace de modules de faisceaux purs semi-stables par rapport à la pente en suivant les travaux antérieurs de Le Potier et Jun Li sur les faisceaux sans torsion sur des surfaces lisses. En particulier, notre construction fournit une compactification de l’espace de modules de Simpson des faisceaux réflexifs stables par rapport à la pente. Nous prouvons également un théorème de restriction effectif pour les faisceaux purs (semi-)stables en suivant une approche due à Langer.

We construct a moduli space of slope-semistable pure sheaves, building upon previous work of Le Potier and Jun Li on torsion-free sheaves over smooth surfaces. In particular, our construction provides a compactification of the Simpson moduli space of slope-stable reflexive sheaves. We also prove an effective restriction theorem for slope-(semi)stable pure sheaves following an approach due to Langer.

Reçu le :
Révisé le :
Accepté le :
Première publication :
DOI : 10.5802/aif.3633
Classification : 14D20, 14J60
Keywords: Coherent sheaves, Moduli spaces, Restriction theorems, Slope-stability.
Mot clés : Faisceaux cohérents, espaces de modules, théorèmes de restriction, stabilité par rapport à la pente
Pavel, Mihai 1

1 Université de Lorraine, IECL, F-54000 Nancy (France) 
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Pavel, Mihai. Moduli spaces of slope-semistable pure sheaves. Annales de l'Institut Fourier, Online first, 46 p.

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