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Obstructed bundles of rank two on a quintic surface

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.

preprint2010arXivOpen access
Nicole MestranoCarlos T. Simpson
math.AG
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Nicole MestranoCarlos T. Simpson

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