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Article Dans Une Revue Manuscripta mathematica Année : 2014

Even and odd instanton bundles on Fano threefolds of Picard number 1

Daniele Faenzi
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Résumé

We consider an analogue of the notion of instanton bundles on the projective 3-space, consisting of a class of vector bundles defined on smooth Fano threefolds X of Picard number 1. We investigate their moduli spaces, focusing on non-emptiness, and, when the intermediate Jacobian of X is trivial, looking at the associated monads, hyper-determinants and nets of quadrics. We study one case where the intermediate Jacobian of X is non-trivial, namely when X is the intersection of two quadrics in the projective 5-space relating instanton bundles on X to vector bundles of higher rank on a curve of genus 2.

Dates et versions

hal-00662710 , version 1 (24-01-2012)

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Daniele Faenzi. Even and odd instanton bundles on Fano threefolds of Picard number 1. Manuscripta mathematica, 2014, 144 (1-2), pp.199-239. ⟨10.1007/s00229-013-0646-6⟩. ⟨hal-00662710⟩
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