Instanton bundles on the blow up of the projective $3$-space at a point

Abstract

We propose a general definition of mathematical instanton bundle with given charge on any Fano threefold extending the classical definitions on ${\mathbb{P}}^3$ and on Fano threefold with cyclic Picard group. Then we deal with the case of the blow up of ${\mathbb{P}}^3$ at a point, giving an explicit construction of instanton bundles satisfying some important extra properties: moreover, we also show that they correspond to smooth points of a component of the moduli space.

24 pages. Final version in the Michigan Mathematical Journal

Cited by in corpus (4)

• Even and odd instanton bundles on Fano threefolds
• Instantons: the next frontier
• Instanton Sheaves on Ruled Fano 3-folds of Picard Rank 2 and Index 1
• Instanton bundles on ${\mathbb{P}}^1\times {\mathbb{F}}_1$