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Instanton bundles on the Segre threefold with Picard number three

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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… Click to show full 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.

Keywords: segre threefold; instanton bundles; picard number; bundles segre; instanton; threefold picard

Journal Title: Mathematische Nachrichten
Year Published: 2020

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