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arXiv · 1804.08949

Cartan geometries on complex manifolds of algebraic dimension zero

Indranil Biswas·Sorin Dumitrescu·Benjamin McKay
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Abstract

We show that compact complex manifolds of algebraic dimension zero bearing a holomorphic Cartan geometry of algebraic type have infinite fundamental group. This generalizes the main Theorem in [DM] where the same result was proved for the special cases of holomorphic affine connections and holomorphic conformal structures.

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Indranil Biswas, Sorin Dumitrescu, Benjamin McKay. 2018-04-24. Cartan geometries on complex manifolds of algebraic dimension zero. https://arxiv.org/abs/1804.08949

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