4 papers
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…
Half canonical rings of Gorenstein spin curves of genus two
Stephen Coughlan, Marco Franciosi, Rita Pardini +1
We introduce the notion of generalised Gorenstein spin structure on a curve and we give an explicit description of the associated section ring for curves of genus two with ample ca…
Almost abelian complex nilmanifolds
Adrián Andrada, Romina M. Arroyo, MarÃa 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…