Sonke Rollenske

activity

20062026

most citedGeometry of nilmanifolds with left-invariant complex structure and deformations in the large

76 citations · 216 across the 33 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.AG2014

A new irreducible component of the moduli space of stable Godeaux surfaces

Sönke Rollenske

We construct from a general del Pezzo surface of degree 1 a Gorenstein stable surfaces $X$ with $K_{X}^{2} = 1$ and $p_{g} (X) = q (X) = 0$ . These surfaces are not smoothable but give an open su…

math.AG2014★ 1 cited

Computing invariants of semi-log-canonical surfaces

Marco Franciosi, Rita Pardini, Sönke Rollenske

We describe some methods to compute fundamental groups, (co)homology, and irregularity of semi-log-canonical surfaces. As an application, we show that there are exactly two irregul…

math.AG2014★ 16 cited

Log-canonical pairs and Gorenstein stable surfaces with $K_{X}^{2} = 1$

Marco Franciosi, Rita Pardini, Sönke Rollenske

We classify log-canonical pairs $(X, Δ)$ of dimension two with $K_{X} + Δ$ an ample Cartier divisor with $(K_{X} + Δ)^{2} = 1$ , giving some applications to stable surfaces with $K^{2} = 1$ . A roug…

A new irreducible component of the moduli space of stable Godeaux surfaces

Computing invariants of semi-log-canonical surfaces

Log-canonical pairs and Gorenstein stable surfaces with KX2​=1

Log-canonical pairs and Gorenstein stable surfaces with $K_{X}^{2} = 1$