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

Yuan Liu

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arXiv · 2411.15744

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

Yuan Liu

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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.

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Yuan Liu. 2024-11-24. On the holomorphic convexity of nilpotent coverings over compact K\"ahler surfaces. https://arxiv.org/abs/2411.15744

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