CARTAN GEOMETRIES ON COMPLEX MANIFOLDS OF ALGEBRAIC DIMENSION ZERO

Indranil Biswas (1) , Sorin Dumitrescu (2) , Benjamin Mckay (3)

1 TIFR - Tata Institute for Fundamental Research
2 LJAD - Laboratoire Jean Alexandre Dieudonné
3 UCC - University College Cork

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.

Domaines: Mathématiques [math]

Indranil Biswas, Sorin Dumitrescu, Benjamin Mckay. CARTAN GEOMETRIES ON COMPLEX MANIFOLDS OF ALGEBRAIC DIMENSION ZERO. 2018. ⟨hal-01775106v1⟩