3 citations · 4 across the 13 of their papers we have counts for
14 papers
Non-trivial ABC-Massey products on complex parallelisable solvmanifolds
Nunzia Cesarino, Tommaso Sferruzza, Adriano Tomassini
Triple Aeppli--Bott--Chern--Massey products, shortly, triple ABC-Massey products are higher-order operations on the Bott--Chern and Aeppli cohomologies of a compact complex manifol…
Invariant forms compute the Dolbeault cohomology of complex nilmanifolds
Keizo Hasegawa, Lorenzo Sillari, Adriano Tomassini
We prove that the inclusion of left-invariant forms into the Dolbeault complex of a compact nilmanifold endowed with a left-invariant complex structure induces an isomorphi…
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…
Symplectic non-Kähler manifolds with and without the Hard Lefschetz Condition
Richard Hind, Adriano Tomassini
In this paper we construct compact manifolds without Kähler structures that admit both a symplectic form satisfying the Hard Lefschetz Condition (HLC) and another symplectic form t…
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 distributio…
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 t…
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…
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 ob…
-Lemma and -Kähler structures on families of solvmanifolds
Andrea Cattaneo, Adriano Tomassini
We provide families of compact -dimensional complex non Kähler manifolds satisfying the -Lemma, with holomoprhically trivial canonical bundle, carr…
Bott-Chern formality and Massey products on strong Kähler with torsion and Kähler solvmanifolds
Tommaso Sferruzza, Adriano Tomassini
We study the interplay between geometrically-Bott-Chern-formal metrics and SKT metrics. We prove that a -dimensional nilmanifold endowed with a invariant complex structure admit…
On the Kodaira-Spencer's problem on almost Hermitian -manifolds
L. Sillari, A. Tomassini
In 1954, Hirzebruch reported a problem posed by Kodaira and Spencer: on compact almost complex manifolds, is the dimension of the kernel of the Dolbeault…
On the spaces of -harmonic forms and -harmonic forms on almost Hermitian manifolds and complex surfaces
Lorenzo Sillari, Adriano Tomassini
We study the spaces of -harmonic forms and -harmonic forms, the natural generalization of the spaces of Bott-Chern harmonic forms, resp. symplectic harmonic f…