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Holomorphic projective connections on compact complex threefolds | | Indranil Biswas
; Sorin Dumitrescu
; | | Date: |
17 May 2020 | | Abstract: | We prove that a holomorphic projective connection on a complex projective
threefold is either flat, or it is a translation invariant holomorphic
projective connection on an abelian threefold. In the second case, a generic
translation invariant holomorphic affine connection on the abelian variety is
not projectively flat. We also prove that a simply connected compact complex
threefold with trivial canonical line bundle does not admit any holomorphic
projective connection. | | Source: | arXiv, 2005.8272 | | Services: | Forum | Review | PDF | Favorites | |
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