Instanton bundles on the Segre threefold with Picard number three

V. Antonelli and F. Malaspina

Mathematische Nachrichten, 2020, vol. 293, issue 6, 1026-1043

Abstract: We study instanton bundles E on P1×P1×P1. We construct two different monads which are the analog of the monads for instanton bundles on P3 and on the flag threefold F(0, 1, 2). We characterize the Gieseker semistable cases and we prove the existence of μ‐stable instanton bundles generically trivial on the lines for any possible c2(E). We also study the locus of jumping lines.

Date: 2020
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https://doi.org/10.1002/mana.201900190

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