Obstructed bundles of rank two on a quintic surface
Résumé
In this note we consider the moduli space of stable bundles of rank two on a very general quintic surface. We study the obstructed points of the moduli space via the spectral covering of a twisted endomorphism. This analysis leads in some examples to a generically non-reduced component of the moduli space, and a component which is generically smooth of one bigger than the expected dimension. We obtain a sharp bound asked for by O'Grady saying when the moduli space is good.
Domaines
Géométrie algébrique [math.AG]Origine | Fichiers produits par l'(les) auteur(s) |
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