In 1948 H. Hopf constructed a class of compact complex manifolds which admit no
embedding into complex projective space and are not even homeomorphic to an algebraic …

In this paper are computed the Poincare series of the highest local cohomology of the
modules of regular forms on a nondegenerate quasihomogeneous singularity and the …

This research monograph sets out to study the notion of a local moduli suite of algebraic
objects like eg schemes, singularities or Lie algebras and provides a framework for this. The …

This paper sets forth the basic elements of the theory of complex superspaces, coherent
sheaves on them and deformations of these objects. The existence of versal deformations is …

The origin of deformation theory lies in the problem of moduli, first considered by Riemann.
The problem in the theory of moduli can be described thus: to bring together all objects of a …

In this article we show that any hyperbolic Inoue surface (also called Inoue-Hirzebruch
surface of even type) admits anti-self-dual bihermitian structures. The same result holds for …

The aim of this article is to report on the authors' recent methods and results about moduli
spaces for curve singularities and for modules over the local ring of a fixed curve singularity …

In this paper the author presents an approach to the problem of classifying
quasihomogeneous singularities, based on the use of simple properties of deformation …

(1.1) A polarized compact Kahler manifold is by definition a pair (X, oi) consisting of a
connected compact complex manifold X and a Kahler class o> GE H\X, R) on X. Here a …

Recently, the generalized Petersson-Weil metric has become an effective tool for the
geometric study of moduli spaces of polarized KaÈhler manifolds and other objects like …