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Mathematics > Differential Geometry

arXiv:1804.08949 (math)
[Submitted on 24 Apr 2018 (v1), last revised 2 Dec 2019 (this version, v3)]

Title:Cartan geometries on complex manifolds of algebraic dimension zero

Authors: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.
Comments: v3 is the final version published in EPIGA
Subjects: Differential Geometry (math.DG)
Cite as: arXiv:1804.08949 [math.DG]
  (or arXiv:1804.08949v3 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.1804.08949
Journal reference: Epijournal de Géométrie Algébrique, volume 3 (2019), Article 19

Submission history

From: Sorin Dumitrescu [view email]
[v1] Tue, 24 Apr 2018 10:54:33 UTC (10 KB)
[v2] Mon, 1 Apr 2019 12:40:09 UTC (12 KB)
[v3] Mon, 2 Dec 2019 11:09:33 UTC (94 KB)
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