Normal forms and geometric structures on Hopf manifolds
Abstract
We prove that Hopf manifolds admit holomorphic (G,X)-structures, extending to any dimension a result of McKay and Pokrovskiy. For this, we revisit Guysinsky-Katok's group of invertible sub-resonant polynomials, and Bertheloot's approach of Poincar\'e-Dulac normal form theory.
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