76 citations · 216 across the 33 of their papers we have counts for
40 papers
Yet Another Family of Complex Structures on
Wenfei Liu, Sönke Rollenske
Following a similar path as the recent construction of a complex structure on we construct another such family, disjoint from the known ones.
Explicit birational models of marked elliptic surfaces of relative degree two
Sönke Rollenske, Anna Ulivi, Aline Zanardini
We introduce explicit construction methods for two distinct birational models of elliptic surfaces equipped with a bisection --- or, more generally, a relative polarisation of degr…
Biholomorphism type of left-invariant complex structures on nilpotent Lie groups
Keizo Hasegawa, Sönke Rollenske, Lorenzo Sillari +2
In this note we prove a conjecture by Hasegawa stating that a simply connected, nilpotent Lie group of dimension endowed with a left-invariant complex structure is biholomorph…
Almost abelian complex nilmanifolds
Adrián Andrada, Romina M. Arroyo, María L. Barberis +2
We show that a complex structure on a nilpotent almost abelian real Lie algebra is unique if it exists. As a consequence, we get full control over the cohomology and deformations o…
Verbal ideals and unobstructed complex parallelisable nilmanifolds
Matthias Paulsen, Sönke Rollenske, Konstantin Wehler
We show that a compact complex parallelisable nilmanifold has unobstructed deformations if and only if its associated Lie algebra satisfies a reality condition and is a free Lie al…
2-Gorenstein stable surfaces with and
Stephen Coughlan, Marco Franciosi, Rita Pardini +1
The compactification of the Gieseker moduli space of surfaces of general type with and in the moduli space of stable surfaces parametrises…