Seminatural bundles of rank two, degree one and $c_2=10$ on a quintic surface

Details Seminatural bundles of rank two, degree one and $c_2=10$ on a quintic surface Seminatural bundles of rank two, degree one and $c_2=10$ on a quintic surface

2012-02-12

arxiv.org/abs/1202.2546v1

Mathematics

Algebraic Geometry

Scientific paper

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 $c_2=10$. 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.

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