TL;DR
This paper provides a negative answer to a specific question about effective divisors on smooth projective surfaces, utilizing generative AI tools like ChatGPT 5.5 pro and Rethlas.
Contribution
It demonstrates the application of advanced generative AI systems to solve a classical problem in algebraic geometry.
Findings
Negative answer to the question of Ciliberto et al.
Use of AI tools to address mathematical problems.
Illustration of AI's role in mathematical research.
Abstract
We give a negative answer to a question of Ciliberto, Knutsen, Lesieutre, Lozovanu, Miranda, Mustopa, and Testa on effective divisors of positive self-intersection on smooth projective surfaces. The main result of this paper is obtained by generative AI, particularly Chatgpt 5.5 pro and the Rethlas system.
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