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arXiv · 1909.10281

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

Gianfranco Casnati·Emre Coskun·Ozhan Genc·Francesco Malaspina
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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.

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Gianfranco Casnati, Emre Coskun, Ozhan Genc, Francesco Malaspina. 2019-09-23. Instanton bundles on the blow up of the projective $3$-space at a point. https://doi.org/10.1307/mmj/1601625614

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