Obstructed bundles of rank two on a quintic surface

Details Obstructed bundles of rank two on a quintic surface Obstructed bundles of rank two on a quintic surface

2009-09-09

arxiv.org/abs/0909.1693v3

Mathematics

Algebraic Geometry

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Scientific paper

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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