Archivio Istituzionale della RicercaWe 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.
Instanton bundles on the Segre threefold with Picard number three / Antonelli, V.; Malaspina, F.. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - 293:6(2020), pp. 1026-1043. [10.1002/mana.201900190]
Instanton bundles on the Segre threefold with Picard number three
Antonelli V.;Malaspina F.
2020
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.
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INSTANTON BUNDLES ON THE SEGRE THREEFOLD.pdf
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2830362