Abstract We deal with instanton bundles on the product ℙ 1 × ℙ 2 {\mathbb{P}^{1}\times\mathbb{P}^{2}} and the blow up of ℙ 3 {\mathbb{P}^{3}} along a line. We give an explicit construction leading to instanton bundles. Moreover, we also show that they correspond to smooth points of a unique irreducible component of their moduli space.

中文翻译：

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Instanton 束在索引 1 的两个 Fano 三重上

摘要 我们处理乘积 ℙ 1 × ℙ 2 {\mathbb{P}^{1}\times\mathbb{P}^{2}} 和 ℙ 3 {\mathbb{P}^ {3}} 沿着一条线。我们给出了一个导致瞬时子束的显式构造。此外，我们还表明它们对应于其模空间的独特不可约分量的平滑点。