Satake Compactification and Extension of Holomorphic Mappings.
Smooth global complete intersections in certain compact homogenous complex manifolds.
Stratonovich-Weyl correspondence for the Jacobi group
We construct and study a Stratonovich-Weyl correspondence for the holomorphic representations of the Jacobi group.
Subvarieties of parallelizable manifolds.
Symmetries of holomorphic geometric structures on tori
We prove that any holomorphic locally homogeneous geometric structure on a complex torus of dimension two, modelled on a complex homogeneous surface, is translation invariant. We conjecture that this result is true in any dimension. In higher dimension, we prove it for G nilpotent. We also prove that for any given complex algebraic homogeneous space (X, G), the translation invariant (X, G)-structures on tori form a union of connected components in the deformation space of (X, G)-structures.