76 citations · 123 across the 3 of their papers we have counts for
3 papers
math.AG2009
Compact moduli for certain Kodaira fibrations
Sönke Rollenske
We describe explicitly the possible degenerations of a class of double Kodaira fibrations in the moduli space of stable surfaces. Using deformation theory we also show that under s…
math.AG2009★ 76 cited
Geometry of nilmanifolds with left-invariant complex structure and deformations in the large
Sönke Rollenske
The relation between nilmanifolds with left-invariant complex structure and iterated principal holomorphic torus bundles is clarified and we give criteria under which deformations…
math.AG2007★ 47 cited
Lie-algebra Dolbeault cohomology and small deformations of nilmanifolds
Sönke Rollenske
We consider nilmanifolds with left-invariant complex structure and prove that small deformations of such structures are again left invariant if the Dolbeault-cohomology of the nilm…