Obstructed bundles of rank two on a quintic surface

2009/09/09 by Mestrano, Nicole, Simpson, Carlos T.
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0909.1693

Abstract

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.

Related

• The irreducibility of the moduli space of stable vector bundles of rank 2 on a quintic in \pp³
• Disconnected moduli spaces of stable bundles on surfaces
• Rank-3 stable bundles on rational ruled surfaces
• On the intersection theory of the moduli space of rank two bundles
• Moduli of vector bundles on projective surfaces: some basic results