Bibliographic record
Abstract
Given a fixed binary form f(u,v) of degree d over a field k, the associated Clifford algebra is the k-algebra Cf=k{u,v}/I, where I is the two-sided ideal generated by elements of the form (αu+βv)d−f(α,β) with α and β arbitrary elements in k. All representations of Cf have dimensions that are multiples of d, and occur in families. In this article, we construct fine moduli spaces U=Uf,r for the irreducible rd-dimensional representations of Cf for each r≥2. Our construction starts with the projective curve defined by the equation wd=f(u,v), and produces Uf,r as a quasiprojective variety in the moduli space of stable vector bundles over C with rank r and degree dr=r(d+g−1), where g denotes the genus of C.
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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 | 0.003 | 0.016 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.002 | 0.002 |
| Research integrity | 0.000 | 0.002 |
| 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".