  In his work on deformation quantization of algebraic varieties Kontsevich
introduced the notion of algebroid as a certain generalization of a sheaf of
algebras. We construct algebroids which are given locally by NC-smooth
thickenings in the sense of Kapranov, over two classes of smooth varieties: the
bases of miniversal families of vector bundles on projective curves, and the
bases of miniversal families of quiver representations.
