Introducing the deformation theory of holomorphic Cartan geometries, we compute infinitesimal automorphisms and infinitesimal deformations. We also prove the existence of a semi-universal deformation of a holomorphic Cartan geometry.

中文翻译：

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全纯嘉当几何的变形理论

引入全纯嘉当几何的变形理论，我们计算无穷小自同构和无穷小变形。我们还证明了全纯嘉当几何的半普遍变形的存在。