The authors define divisible weighted projective spaces, give sharp bounds for minimal-degree non-degenerate subvarieties therein, and develop a theory of weighted determinantal scrolls that achieve minimal degree while satisfying weighted N_p properties tied to regularity notions.
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SageMath-augmented ReAct agents raise solve rates by +9.7 pp on average on a curated 133-problem RealMath subset, with GPT-5.5 reaching 75.2%.
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Varieties of minimal degree in weighted projective space
The authors define divisible weighted projective spaces, give sharp bounds for minimal-degree non-degenerate subvarieties therein, and develop a theory of weighted determinantal scrolls that achieve minimal degree while satisfying weighted N_p properties tied to regularity notions.
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Evaluating SageMath-Augmented LLM Agents for Computational and Experimental Mathematics
SageMath-augmented ReAct agents raise solve rates by +9.7 pp on average on a curated 133-problem RealMath subset, with GPT-5.5 reaching 75.2%.