3 papers
math.DG2026
On a Modification of the Twistor Space
Anna Fino, Gueo Grantcharov, Alberto Pipitone Federico
In the paper we construct a modification of the twistor space of a Kähler scalar flat surface and study its complex-geometric and metric properties. In particular, we c…
math.DG2025
Exotic hypercomplex structures on a torus do not exist
Alberto Pipitone Federico, Misha Verbitsky
A hypercomplex manifold is a manifold with three complex structures satisfying quaternionic relations. Such a manifold admits a unique torsion-free connection preserving the quater…
math.AG2024
Divisorial properties and special metrics on hypercomplex twistor spaces
Alberto Pipitone Federico
We prove that the general fiber of a compact hypercomplex twistor space with a Kähler fiber has no divisors nor curves. This is first used to prove that, under the same assumption…