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 statement:
- Lemma 3.4.3 · arXiv:0707.3108v5, PDF p. 19Closed saturated ideal tensor-factorization.
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:0707.3108v5
Quantized symplectic actions and W-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 ↗01Statements1 reported findingSuspected 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
Lemma 3.4.3
arXiv:0707.3108v5, Lemma 3.4.3, PDF p. 19; Focal arXiv:1501.01260v4, Lemma 3.7 proof, PDF p. 9.
The lemma gives the closed saturated ideal tensor-factorization in the completed local model. Focal Lemma 3.7 uses that factorization for its ideal after completion; it is not the separate completion decomposition attributed to the Losev appendix in Etingof–Schedler. The audit verifies this statement-to-focal-role mapping only; it does not certify the source proof or any unexpanded antecedent.
Official arXiv:0707.3108v5 ↗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, Lemma 3.7 proof, PDF p. 9.
The exact ideal-factorization proof is not recursively closed.
Frozen exact arXiv:0707.3108v5 ↗03Novelty0 reported findingsNo novelty concerns found
No non-novelty findings.