2 citations · 2 across the 4 of their papers we have counts for
7 papers
Strong cohomological rigidity of Hirzebruch surface bundles in Bott towers
Hiroaki Ishida
We show the strong cohomological rigidity of Hirzebruch surface bundles over Bott manifolds. As a corollary, we have that the strong cohomological rigidity conjecture is true for B…
Double sided torus actions and complex geometry on
Hiroaki Ishida, Hisashi Kasuya
We construct explicit complex structures and transversely Kähler holomorphic foliations on corresponding to variations of real quadratic equations on a complex quadric in $…
Non-invariant deformations of left-invariant complex structures on compact Lie groups
Hiroaki Ishida, Hisashi Kasuya
We consider deformations of left-invariant complex structures on simply connected semisimple compact Lie groups which are a priori non-invariant. Computing their cohomologies, we s…
Basic cohomology of canonical holomorphic foliations on complex moment-angle manifolds
Hiroaki Ishida, Roman Krutowski, Taras Panov
We describe the basic cohomology ring of the canonical holomorphic foliation on a moment-angle manifold, LVMB-manifold or any complex manifold with a maximal holomorphic torus acti…
Towards transverse toric geometry
Hiroaki Ishida
We study certain foliated complex manifolds that behave similarly to complete nonsingular toric varieties. We classify them by combinatorial objects that we call marked fans. We de…
Transverse Kähler structures on central foliations of complex manifolds
Hiroaki Ishida, Hisashi Kasuya
For a compact complex manifold, we introduce holomorphic foliations associated with certain abelian subgroups of the automorphism group. Such foliations are generalizations of holo…