Sönke Rollenske

activity

20072019

most citedThe complex geometry of a hypothetical complex structure on

S^{6}

4 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.CV2019★ 4 cited

The complex geometry of a hypothetical complex structure on $S^{6}$

Christian Lehn, Sönke Rollenske, Caren Schinko

This article is a survey about or introduction to certain aspects of the complex geometry of a hypothetical complex structure on the six-sphere. We discuss a result of Peternell--C…

math.DG2017★ 1 cited

$\partial \partial ˉ$ -complex symplectic and Calabi-Yau manifolds: Albanese map, deformations and period maps

Ben Anthes, Andrea Cattaneo, Sönke Rollenske +1

Let $X$ be a compact complex manifold with trivial canonical bundle and satisfying the $\partial \partial ˉ$ -Lemma. We show that the Kuranishi space of $X$ is a smooth universal…

math.AG2007

The Frölicher spectral sequence can be arbitrarily non degenerate

Laura Bigalke, Sönke Rollenske

The Frölicher spectral sequence of a compact complex manifold $X$ measures the difference between Dolbeault cohomology and de Rham cohomology. We construct for $n \geq 2$ nilmanifol…

The complex geometry of a hypothetical complex structure on S6

∂∂ˉ-complex symplectic and Calabi-Yau manifolds: Albanese map, deformations and period maps

The Frölicher spectral sequence can be arbitrarily non degenerate

The complex geometry of a hypothetical complex structure on $S^{6}$

$\partial \partial ˉ$ -complex symplectic and Calabi-Yau manifolds: Albanese map, deformations and period maps