From the 1 of 3 linked papers with an AI index.
3 papers
math.DG2026
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…
math.DG2026
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…
math.DG2025
Cartan Flat Non-degenerate CR Lie Groups
Keizo Hasegawa, Hisashi Kasuya
In this paper we determine all the simply connected non-degenerate CR Lie groups, which are flat with respect to the Cartan connection: in terms of associated Lie algebras, we asse…