Indranil Biswas ; Sorin Dumitrescu ; Benjamin McKay - CARTAN GEOMETRIES ON COMPLEX MANIFOLDS OF ALGEBRAIC DIMENSION ZERO

epiga:4460 - Épijournal de Géométrie Algébrique, December 5, 2019, Volume 3 - https://doi.org/10.46298/epiga.2019.volume3.4460
CARTAN GEOMETRIES ON COMPLEX MANIFOLDS OF ALGEBRAIC DIMENSION ZERO

Authors: Indranil Biswas 1; Sorin Dumitrescu ORCID-iD2; Benjamin McKay

  • 1 Tata Institute for Fundamental Research
  • 2 Laboratoire Jean Alexandre Dieudonné

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.

https://doi.org/10.46298/epiga.2019.volume3.4460
Source: HAL:hal-01775106v3
Volume: Volume 3
Published on: December 5, 2019
Accepted on: December 5, 2019
Submitted on: April 24, 2018
Keywords: Cartan geometry,almost homogeneous space,algebraic dimension,Killing vector field,semistability 2010 Mathematics Subject Classification 53C56,14J60,32L05,[MATH]Mathematics [math]

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Source : ScholeXplorer IsRelatedTo ARXIV 1402.5048
Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1402.5048
Source : ScholeXplorer IsRelatedTo DOI 10.5802/aif.3009
  • 1402.5048
  • 10.5802/aif.3009
  • 10.5802/aif.3009
  • 10.48550/arxiv.1402.5048
On two theorems about local automorphisms of geometric structures

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