Let X be a K3 surface which doubly covers an Enriques surface S. If n∈N is an odd number, then the Hilbert scheme of n-points X[n] admits a natural quotient S[n]. This quotient is an Enriques manifold in the sense of Oguiso ...

In this thesis we study Cherkis bow varieties and its description in terms of linear flows on the Jacobian variety of certain spectral curve. We describe explicitly the bow variety of a deformed instanton moduli space ...

Let X be a projective K3 surfaces. In two examples where there exists a fine moduli space M of stable vector bundles on X, isomorphic to a Hilbert scheme of points, we prove that the universal family E on X× M can be ...