10 research outputs found
Seminatural bundles of rank two, degree one and on a quintic surface
In this paper we continue our study of the moduli space of stable bundles of
rank two and degree 1 on a very general quintic surface. The goal in this paper
is to understand the irreducible components of the moduli space in the first
case in the "good" range, which is . We show that there is a single
irreducible component of bundles which have seminatural cohomology, and
conjecture that this is the only component for all stable bundles
Irreducibility of the moduli space of stable vector bundles of rank two and odd degree on a very general quintic surface
The moduli space , of stable rank two vector bundles of degree one on
a very general quintic surface , is irreducible for all
and empty otherwise.Comment: Adds a review of initial case
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.Comment: Adds references, correction