This thesis deals with K3 surfaces and their moduli spaces. In the first part we identify a class of complex K3 surfaces, called of zero entropy, with a particularly simple (but infinite) automorphism group, naturally ...

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 ...

This thesis deals with the study of the cohomology and the Kodaira dimension of some moduli spaces. In the first part we compute the intersection Betti numbers of the GIT models of two moduli spaces. They parametrize ...