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

epiga:4460 - Épijournal de Géométrie Algébrique, December 5, 2019, Volume 3
CARTAN GEOMETRIES ON COMPLEX MANIFOLDS OF ALGEBRAIC DIMENSION ZERO

Authors: Biswas, Indranil and Dumitrescu, Sorin and McKay, Benjamin

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.


Source : oai:HAL:hal-01775106v3
Volume: Volume 3
Published 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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