Published paper
Abstract
Selected proof-dependency source recorded for the bounded audit of arXiv:1501.01260v4.
Role in dependence graphs
Proof-critical source
Bernstein inequality and holonomic modules
This paper is included only for the following marked statements:
- Theorem 2.19 · arXiv:math/0212036v4, PDF p. 8Highest-weight/projective structure.
- Corollary 2.16 · arXiv:math/0212036v4, PDF p. 8Finite-length input kept separate from T2.19.
AI-generated audit
Audit summary
Not a correctness certificate. These reports do not replace expert scrutiny or formal verification.
Exact reviewed source
Frozen exact arXiv:math/0212036v4
On the category O for rational Cherednik algebras
The exact versioned arXiv PDF was frozen and inspected because publisher full text was not acquired for this review. It is a fallback, not a claimed version of record.
Open audited source ↗01Statements2 reported findingsSuspected unsupported statements
Selected claim text and its focal use were checked in the frozen exact versioned source. The source proofs and antecedent citations are outside this bounded first-order shell, so no selected claim is certified merely from its locator.
Claim content and focal mappingStatement located; proof closure not independently verified
Theorem 2.19
arXiv:math/0212036v4, Theorem 2.19, PDF p. 8; Focal arXiv:1501.01260v4, §§2.4 and 4.1, PDF pp. 6 and 12–14.
The theorem gives the highest-weight and projective structure in the relevant category. It supports only that projective-structure part of the focal rational-Cherednik route; finite length is separately mapped to Corollary 2.16. The audit verifies this statement-to-focal-role mapping only; it does not certify the source proof or any unexpanded antecedent.
Official arXiv:math/0212036v4 ↗Claim content and focal mappingStatement located; proof closure not independently verified
Corollary 2.16
arXiv:math/0212036v4, Corollary 2.16, PDF p. 8; Focal arXiv:1501.01260v4, §§2.4 and 4.1, PDF pp. 6 and 12–14.
The corollary is the selected finite-length input. It is kept distinct from the highest-weight theorem so the focal finite-length use is not overclaimed from Theorem 2.19 alone. The audit verifies this statement-to-focal-role mapping only; it does not certify the source proof or any unexpanded antecedent.
Official arXiv:math/0212036v4 ↗02Proofs1 reported findingFurther proof verification needed
The selected proof route is bounded: the source's own proof dependencies have not been recursively closed in this audit.
Proof boundaryProof closure not independently verified
No recursive closure is claimed
Focal arXiv:1501.01260v4, §§2.4 and 4.1, PDF pp. 6 and 12–14.
Category-theoretic antecedents are outside this bounded graph.
Frozen exact arXiv:math/0212036v4 ↗03Novelty0 reported findingsNo novelty concerns found
No non-novelty findings.