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Bibliographic Details
Main Authors: Ishida, Hiroaki, Kasuya, Hisashi
Format: Preprint
Published: 2021
Subjects:
Online Access:https://arxiv.org/abs/2110.08533
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Table of Contents:
  • We construct explicit complex structures and transversely Kähler holomorphic foliations on $SU(3)$ corresponding to variations of real quadratic equations on a complex quadric in $\mathbb{C}^{6}$ as generalizations of left-invariant complex structures on $SU(3) $ and an invariant Kähler structure on the flag variety $SU(3)/T$.Consequently, we obtain orbifold variants of the flag variety $SU(3)/T$ as quotients of double sided torus actions.