From the 1 of 9 linked papers with an AI index.
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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…
Non-Kähler Special Lagrangian submanifolds and SYZ mirror symmetry
Tristan C. Collins, Francesca Lusetti, Adriano Tomassini
We determine purely algebraic equations to identify \textit{SLags} generated by invariant distributions in a class of non-Kähler Calabi-Yau manifolds. We determine SLag distributi…
Aeppli-Bott-Chern Massey products on non-Kähler solvmanifolds
Nunzia Cesarino, Adriano Tomassini
In this paper, we present explicit computations of non-trivial triple -Massey products on non-Kähler solvmanifolds endowed with an invariant complex structure. We prove that…
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…
Hard Lefschetz Condition on symplectic non-Kähler solvmanifolds
Francesca Lusetti, Adriano Tomassini
We provide new families of compact complex manifolds with no Kähler structure carrying symplectic structures satisfying the \textit{Hard Lefschetz Condition}. These examples are o…