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arXiv · 1909.10895

Instanton bundles on the Segre threefold with Picard number three

Vincenzo Antonelli·Francesco Malaspina
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Abstract

We study instanton bundles $E$ on $\mathbb{P}^1\times \mathbb{P}^1 \times \mathbb{P}^1$. We construct two different monads which are the analog of the monads for instanton bundles on $\mathbb P^3$ 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 $c_2(E)$. We also study the locus of jumping lines.

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BibTeXRIS

Vincenzo Antonelli, Francesco Malaspina. 2019-09-24. Instanton bundles on the Segre threefold with Picard number three. https://arxiv.org/abs/1909.10895

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