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Deformation theory of holomorphic Cartan geometries, II
oleh: Biswas Indranil, Dumitrescu Sorin, Schumacher Georg
Format: | Article |
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Diterbitkan: | De Gruyter 2022-02-01 |
Deskripsi
In this continuation of [4], we investigate the deformations of holomorphic Cartan geometries where the underlying complex manifold is allowed to move. The space of infinitesimal deformations of a flat holomorphic Cartan geometry is computed. We show that the natural forgetful map, from the infinitesimal deformations of a flat holomorphic Cartan geometry to the infinitesimal deformations of the underlying flat principal bundle on the topological manifold, is an isomorphism.