Generalized Deligne-Hitchin Twistor Spaces: Construction and Properties
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2020
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915238248448000 |
|---|---|
| author | Hu, Zhi Huang, Pengfei Zong, Runhong |
| author_facet | Hu, Zhi Huang, Pengfei Zong, Runhong |
| contents | In this paper, we generalize the construction of Deligne-Hitchin twistor space by gluing two certain Hodge moduli spaces. We investigate such generalized Deligne-Hitchin twistor space as a complex analytic manifold. More precisely, we show it admits holomorphic sections with weight-one property and semi-negative energy, and it carries a balanced metric, and its holomorphic tangent bundle (for the case of rank one) is stable. Moreover, we also study the automorphism groups of the Hodge moduli spaces and the generalized Deligne-Hitchin twistor space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_06893 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Generalized Deligne-Hitchin Twistor Spaces: Construction and Properties Hu, Zhi Huang, Pengfei Zong, Runhong Algebraic Geometry In this paper, we generalize the construction of Deligne-Hitchin twistor space by gluing two certain Hodge moduli spaces. We investigate such generalized Deligne-Hitchin twistor space as a complex analytic manifold. More precisely, we show it admits holomorphic sections with weight-one property and semi-negative energy, and it carries a balanced metric, and its holomorphic tangent bundle (for the case of rank one) is stable. Moreover, we also study the automorphism groups of the Hodge moduli spaces and the generalized Deligne-Hitchin twistor space. |
| title | Generalized Deligne-Hitchin Twistor Spaces: Construction and Properties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2010.06893 |