Obstructed bundles of rank two on a quintic surface - Archive ouverte HAL
Article Dans Une Revue International Journal of Mathematics Année : 2011

Obstructed bundles of rank two on a quintic surface

Nicole Mestrano
Carlos Simpson

Résumé

In this note we consider the moduli space of stable bundles of rank two on a very general quintic surface. We study the potentially obstructed points of the moduli space via the spectral covering of a twisted endomorphism. This analysis leads to generically non-reduced components of the moduli space, and components which are generically smooth of more than the expected dimension. We obtain a sharp bound asked for by O'Grady saying when the moduli space is good.
Fichier principal
Vignette du fichier
obsV4.pdf (435.44 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00414445 , version 1 (09-09-2009)
hal-00414445 , version 2 (19-10-2009)
hal-00414445 , version 3 (09-03-2010)
hal-00414445 , version 4 (26-03-2010)

Identifiants

Citer

Nicole Mestrano, Carlos Simpson. Obstructed bundles of rank two on a quintic surface. International Journal of Mathematics, 2011, 22 (6), pp.789-836. ⟨10.1142/S0129167X11007045⟩. ⟨hal-00414445v4⟩
329 Consultations
200 Téléchargements

Altmetric

Partager

More