Baker's Question on Smooth Hyperplane Sections over Finite Fields
Statement
Baker asked, as recorded by Poonen, whether a fixed smooth quasiprojective variety over a finite field must acquire a smooth rational hyperplane section after every sufficiently high-dimensional linearly nondegenerate embedding. Poonen predicted no for every positive-dimensional variety, and that prediction is correct.
Record
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No person has examined this. Nothing here has been checked at all. say whether it holds →
construction · #1
Yutong Zhang and Yaoran Yang, using GPT-based models, RethlasThat credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.
The acknowledgement says the author used GPT-based large language models to generate and compare possible proof strategies, some of which was incorporated into the final manuscript, and used the Rethlas agent as an auxiliary proof-checker.
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