From the 1 of 7 linked papers with an AI index.
7 papers
Invariant forms compute the Dolbeault cohomology of complex nilmanifolds
Keizo Hasegawa, Lorenzo Sillari, Adriano Tomassini
The paper proves that for compact nilmanifolds with left‑invariant complex structures, the Dolbeault cohomology (and related Bott‑Chern, Aeppli, and Frölicher invariants) can be co…
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…
Classification of homogeneous almost complex -manifolds with non-degenerate torsion bundle
Cristina Bozzetti, Costantino Medori, Lorenzo Sillari
We investigate the local and global geometry of almost complex -manifolds admitting non-degenerate torsion bundle. The rigidity of these structures forces a parallelizable -a…
Kodaira dimension of almost complex -manifolds with torsion first Chern class
Lorenzo Sillari, Adriano Tomassini
In this paper we investigate the Kodaira dimension of almost complex -manifolds with torsion first Chern class. First, we prove that, if the almost complex structure is also tam…
Kodaira dimension of -structures
Lorenzo Sillari, Adriano Tomassini
We study the Kodaira dimension of almost complex manifolds admitting an -structure. We introduce the notion of almost complex structure of splitting type and of as…
Invariant and non-invariant almost complex structures on compact quotients of Lie groups
Lorenzo Sillari, Adriano Tomassini
In this paper we briefly survey the classical problem of understanding which Lie algebras admit a complex structure, put in the broader perspective of almost complex structures wit…