Hirzebruch-Mumford proportionality and locally symmetric varieties of orthogonal type.
Holomorphic Automorphisms of Compact Kähler Surfaces and Their Induced Actions in Cohomology.
Holomorphic Projective Structures on Compact Complex Surfaces. II.
Homology Hopf surfaces
Hyperbolic geometry and moduli of real cubic surfaces
Let be the moduli space of smooth real cubic surfaces. We show that each of its components admits a real hyperbolic structure. More precisely, one can remove some lower-dimensional geodesic subspaces from a real hyperbolic space and form the quotient by an arithmetic group to obtain an orbifold isomorphic to a component of the moduli space. There are five components. For each we describe the corresponding lattices in . We also derive several new and several old results on the topology of ....