Holomorphic geometric structures on Hopf manifolds

2025/01/20 by Matthieu Madera, Madera, Matthieu
Mathematics · #Geometric and Algebraic Topology #Holomorphic and Operator Theory #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2501.11364

Abstract

We construct integrable holomorphic G-structures and flat holomorphic Cartan geometries on every complex Hopf manifold, without using the normal forms given by the Poincaré-Dulac Theorem. We provide a new proof of the latter using charts adapted with the geometric structures.

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