6 papers · 1 filter
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…