Orthogonal Bundles and Skew-Hamiltonian Matrices

Abstract

AbstractUsing properties of skew-Hamiltonian matrices and classic connectedness results, we prove that themoduli space M0ort (r, n) of stable rank r orthogonal vector bundles on ℙ2, with Chern classes (c1, c2) = (0, n) and trivial splitting on the general line, is smooth irreducible of dimension We speculate that the result holds in greater generality.