Obstructed bundles of rank two on a quintic surface - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2010

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.
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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)

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Nicole Mestrano, Carlos Simpson. Obstructed bundles of rank two on a quintic surface. 2010. ⟨hal-00414445v3⟩
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