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CARTAN GEOMETRIES ON COMPLEX MANIFOLDS OF ALGEBRAIC DIMENSION ZERO

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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https://hal.archives-ouvertes.fr/hal-01775106
Contributor : Sorin Dumitrescu <>
Submitted on : Tuesday, December 3, 2019 - 12:13:51 PM
Last modification on : Tuesday, May 26, 2020 - 6:50:53 PM
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Indranil Biswas, Sorin Dumitrescu, Benjamin Mckay. CARTAN GEOMETRIES ON COMPLEX MANIFOLDS OF ALGEBRAIC DIMENSION ZERO. Épijournal de Géométrie Algébrique, EPIGA, In press, 3. ⟨hal-01775106v3⟩

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