18 citations · 72 across the 15 of their papers we have counts for
5 papers · 1 filter
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 $…
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…
Torus invariant transverse Kähler foliations
Hiroaki Ishida
In this paper, we show the convexity of the image of a moment map on a transverse symplectic manifold equipped with a torus action under a certain condition. We also study properti…
Complex manifolds with maximal torus actions
Hiroaki Ishida
In this paper, we introduce the notion of maximal actions of compact tori on smooth manifolds and study compact connected complex manifolds equipped with maximal actions of compact…
Completely integrable torus actions on complex manifolds with fixed points
Hiroaki Ishida, Yael Karshon
We show that if a holomorphic dimensional compact torus action on a compact connected complex manifold of complex dimension has a fixed point then the manifold is equivaria…