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math.DG2020
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…
math.DG2018★ 3 cited
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…
math.DG2011★ 2 cited
Invariant stably complex structures on topological toric manifolds
Hiroaki Ishida
We show that any $(\C ^*)^n$-invariant stably complex structure on a topological toric manifold of dimension is integrable. We also show that such a manifold is weakly $(\C ^*…