论文标题
广义迪格尼 - 希钦曲折空间：建筑和特性
Generalized Deligne-Hitchin Twistor Spaces: Construction and Properties
论文作者
论文摘要
在本文中，我们通过粘贴两个某些hodge Moduli空间来概括Deligne-Hitchin Twistor空间的构建。我们将这种广义的deligne-hitchin扭曲器空间作为复杂的分析歧管。更确切地说，我们表明它可以接受具有重量的特性和半阴性能量的全体形态切片，并且具有平衡的度量，并且其全体形态切线束（对于等级第一的情况）是稳定的。此外，我们还研究了Hodge模量空间和广义的Deligne-Hitchin Twistor空间的自动形态群体。
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.
