The main goal of this work is to construct and study a reasonable compactification of the strata of the moduli space of abelian differentials. This allows us to compute the Kodaira dimension of some strata of the moduli ...

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 ...