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arXiv · 1202.2546

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

Nicole Mestrano·Carlos T. Simpson
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Abstract

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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Nicole Mestrano, Carlos T. Simpson. 2012-02-12. Seminatural bundles of rank two, degree one and $c_2=10$ on a quintic surface. https://doi.org/10.1215/21562261-1966107

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