60 citations · 175 across the 41 of their papers we have counts for
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Hodge symmetry and decomposition on non-Kähler solvmanifolds
Hisashi Kasuya
Let $G=\C^{n}\ltimes_ϕ \C^{m}$ with a semi-simple action $ϕ: \C^{n}\to GL_{m}(\C)$ (not necessarily holomorphic). Suppose has a lattice . Then we show that in some condition…
Techniques of computations of Dolbeault cohomology of solvmanifolds
Hisashi Kasuya
We consider semi-direct products $\C^{n}\ltimes_ϕN$ of Lie groups with lattices such that are nilpotent Lie groups with left-invariant complex structures. We compute the Do…
Vaisman metrics on solvmanifolds and -cohomology
Hisashi Kasuya
We prove the non-existence of Vaisman metrics on some solvmanifolds with a left-invariant complex structure. By this theorem, we show that every Oeljeklaus-Toma manifold with $(s,1…
Coeffective cohomology of symplectic aspherical manifolds
Hisashi Kasuya
We prove a generalization of the theorem which is proved by Fernandez, Ibanez, and de Leon. By this result, we give examples of non-Kähler manifolds which satisfy the property of c…