Taut, Pseudotaut and equisingularly rigid singularities.
The Kuranishi space of complex parallelisable nilmanifolds
We show that the deformation space of complex parallelisable nilmanifolds can be described by polynomial equations but is almost never smooth. This is remarkable since these manifolds have trivial canonical bundle and are holomorphic symplectic in even dimension. We describe the Kuranishi space in detail in several examples and also analyse when small deformations remain complex parallelisable.
The New Estimate for the Subbundles Ej and Its Application to the Deformation of the Boundaries of Strongly Pseudo Convex Domains.
The Strong Rigidity of Locally Symmetric Complex Manifolds of Rank One and Finite Volume.