1. Generalized Deligne–Hitchin twistor spaces: Construction and properties.
- Author
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Hu, Zhi, Huang, Pengfei, and Zong, Runhong
- Subjects
- *
AUTOMORPHISM groups , *GENERALIZED spaces , *ANALYTIC spaces , *COMPLEX manifolds , *ISOMORPHISM (Mathematics) , *HOLONOMY groups - Abstract
In this paper, we generalize the construction of Deligne–Hitchin twistor space by gluing two certain Hodge moduli spaces. We investigate some properties of such generalized Deligne–Hitchin twistor space as a complex analytic manifold. More precisely, we show it admits holomorphic sections whose normal bundle contains a semistable subbundle with positive degree and whose energy is semi-negative, and it carries a balanced metric. Moreover, we also study the automorphism groups of the Hodge moduli spaces and the generalized Deligne–Hitchin twistor spaces. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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