Rationality and categorical properties of the moduli of instanton
bundles on the projective 3-space
Rationality and categorical properties of the moduli of instanton
bundles on the projective 3-space
We prove the rationality and irreducibility of the moduli space of mathematical instanton vector bundles of arbitrary rank and charge on $\mathbb P^3$. In particular, the result applies to the rank-2 case. This problem was first studied by Barth, Hartshorne, Hirschowitz-Narasimhan in the late 1970s. We also show that the …