Bibliographic record
Abstract
Abstract In this paper we describe the space spanned by the divisors of curves and points satisfying certain ramification conditions on ℳ¯ g,n , the moduli space of n-pointed stable curves of genus g. This generalizes work of Eisenbud, Harris, and Mumford for the cases n ≤ 1. Key Words: Algebraic curvesModuli spacesBrill-Noether theory Acknowledgments This paper is a revised version of parts of my doctoral dissertation (Logan, Citation1999). I would like to thank Mira Bernstein for teaching me how to work with moduli spaces, Sean Keel for his insights and suggestions, and Ravi Vakil for his comments on a draft of this paper. In addition, I would like to thank the referee for a helpful report that directed me to previous work on the same subject and led me to improve the exposition. This work was partially supported by a Sloan Dissertation Fellowship and a VIGRE grant from the NSF.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".