AI 中文总结
作者利用ChatGPT-5.6 Sol提出的正特征思路，证明了特征0代数闭域上射影空间任意有限点集的Chudnovsky猜想及更一般的Demailly猜想。
AI 中文摘要
针对特征为0的代数闭域k上的任意有限个射影空间Pⁿ_k中的点，我们证明了Chudnovsky猜想，更一般地，证明了Demailly猜想。利用正特征的思路以及证明的整体框架由ChatGPT-5.6 Sol提出，本文所有数学论证与证明均由作者完成、撰写并验证。
英文摘要
We establish Chudnovsky's Conjecture and, more generally, Demailly's Conjecture for any finite set of points in $\mathbb{P}^n_k$, where $k$ is an algebraically closed field of characteristic 0. The key idea of passing to positive characteristic, as well as the broad plan of the proof, was suggested by ChatGPT-5.6 Sol. All mathematical arguments and proofs in this paper were developed, written, and verified by the authors.
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