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Article Dans Une Revue Kyoto Journal of Mathematics Année : 2013

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

Nicole Mestrano
Carlos T. Simpson

Résumé

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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Dates et versions

hal-00669217 , version 1 (12-02-2012)

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Nicole Mestrano, Carlos T. Simpson. Seminatural bundles of rank two, degree one and $c_2=10$ on a quintic surface. Kyoto Journal of Mathematics, 2013, 53 (1), pp.155-195. ⟨hal-00669217⟩
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