TL;DR
This paper demonstrates that the property of being of klt type is not preserved under flat deformations, using AI-assisted methods to construct a counterexample, thus answering a question posed by Han and Jiang.
Contribution
It provides the first explicit counterexample showing that klt type is not an open condition in flat families, employing generative AI tools for construction.
Findings
Klt type is not an open condition in flat families.
AI tools can assist in constructing algebraic geometry counterexamples.
The paper answers a previously open question by Han and Jiang.
Abstract
We prove that being of klt type is not an open condition in flat families of varieties. This answers a question of Han and Jiang. The construction in this paper substantially uses generative AI: the general idea for the counterexample was suggested by ChatGPT Pro 5.5, and the explicit example was found and proved by the Rethlas system.
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