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On the holomorphic convexity of nilpotent coverings over compact K\"ahler surfaces

Complex Variables 2024-11-26 v1 Group Theory

Abstract

We prove that any nilpotent regular covering over a compact K\"ahler surface is holomorphically convex if it does not have two ends. Furthermore, we show that the Malcev covering of any compact K\"ahler manifold has at most one end.

Keywords

Cite

@article{arxiv.2411.15744,
  title  = {On the holomorphic convexity of nilpotent coverings over compact K\"ahler surfaces},
  author = {Yuan Liu},
  journal= {arXiv preprint arXiv:2411.15744},
  year   = {2024}
}

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