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Instanton bundles on the Segre threefold with Picard number three

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  • V. Antonelli
  • F. Malaspina

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.

Suggested Citation

  • V. Antonelli & F. Malaspina, 2020. "Instanton bundles on the Segre threefold with Picard number three," Mathematische Nachrichten, Wiley Blackwell, vol. 293(6), pages 1026-1043, June.
    • Handle: RePEc:bla:mathna:v:293:y:2020:i:6:p:1026-1043
    DOI: 10.1002/mana.201900190
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