Double sided torus actions and complex geometry on $SU(3)$
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2021
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912032084721664 |
|---|---|
| author | Ishida, Hiroaki Kasuya, Hisashi |
| author_facet | Ishida, Hiroaki Kasuya, Hisashi |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_08533 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Double sided torus actions and complex geometry on $SU(3)$ Ishida, Hiroaki Kasuya, Hisashi Complex Variables Symplectic Geometry 22C05, 32M25, 53D20, 57S25 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. |
| title | Double sided torus actions and complex geometry on $SU(3)$ |
| topic | Complex Variables Symplectic Geometry 22C05, 32M25, 53D20, 57S25 |
| url | https://arxiv.org/abs/2110.08533 |