Normal forms and geometric structures on Hopf manifolds
Complex Variables
2025-01-20 v1
Abstract
We prove that Hopf manifolds admit holomorphic -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.
Keywords
Cite
@article{arxiv.2501.10346,
title = {Normal forms and geometric structures on Hopf manifolds},
author = {Paul Boureau},
journal= {arXiv preprint arXiv:2501.10346},
year = {2025}
}
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10 pages