Instanton bundles on two Fano threefolds of index $1$

Abstract

We deal with instanton bundles on the product ${\mathbb{P}}^1\times {\mathbb{P}}^2$ and the blow up of ${\mathbb{P}}^3$ 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.

25 pages. The final version will appear in Forum Mathematicum. arXiv admin note: text overlap with arXiv:1909.10281

Cited by in corpus (2)

• Even and odd instanton bundles on Fano threefolds
• Instanton bundles on ${\mathbb{P}}^1\times {\mathbb{F}}_1$