Conjectures on Resolutions and Singular Rings

Definitions and mathematical statement

The supplied record contains a truncated table-of-contents fragment, not an identifiable mathematical assertion. Its relevant entries are "Conjecture" followed by page 362, and Jack Jeffries's contribution "Bernstein’s inequality for certain singular rings" followed by page 365. The record lists joint work with Josep Àlvarez Montaner, Daniel Hernández, Luiz Núñez-Betancourt, Pedro Teixeira, Emily Witt, and David Lieberman. This juxtaposition does not establish that the missing conjecture belongs to that contribution or those researchers.

No definitions, hypotheses, domains, boundary conditions, quantifiers, or conclusion of the intended conjecture are supplied. Consequently, a precise mathematical statement cannot be formulated from this record. In particular, the title of the neighboring contribution does not specify which singular rings or which version of Bernstein’s inequality would be intended.

The supplied statement status is unrecoverable, and no clean statement is supplied. The registry labels the problem open, but this label is supplied curation rather than a verified mathematical status for an identifiable assertion. The supplied verification note reports that the official report confirms the table-of-contents nature of the fragment; that verification has not been independently performed for this draft.

Short English statement

The source preserves a table-of-contents fragment containing "Conjecture" and a nearby contribution on Bernstein’s inequality for certain singular rings. It provides no recoverable conjecture. The intended statement and its attribution require human source review; the supplied open label cannot establish the status of an unidentified assertion.

Sources

• Supplied local UnsolvedMath problem registry, permanent ID $30005405$, source code catalogue entry, title "Conjectures on Resolutions and Singular Rings," in the Oberwolfach Reports Open Problems collection. The record gives 2023 as the proposed year and supplies no proposer.
• Resolutions in Local Algebra and Singularity Theory (2023), Oberwolfach Reports, pp. 327--395, DOI 10.4171/owr/2023/6. Supplied source URL and literature reference labeled "original OWR report": https://doi.org/10.4171/owr/2023/6. Oberwolfach Reports document mathematical workshops and their open-problem discussions. The supplied fragment refers to pages 362 and 365; no specific conjecture text is supplied.
• Attribution preserved from the neighboring table-of-contents entry: Jack Jeffries, joint with Josep Àlvarez Montaner, Daniel Hernández, Luiz Núñez-Betancourt, Pedro Teixeira, Emily Witt, and David Lieberman, "Bernstein’s inequality for certain singular rings." Attribution of the unidentified conjecture to these researchers is not established.
• Literature assessment dated exactly 2026-08-22: the supplied curation labels the record open and describes it as a truncated table-of-contents fragment ending in "Conjecture," with no identifiable mathematical assertion to verify. The listed source checked is the original OWR report linked above. This assessment is supplied dated curation, not independently verified; its time-sensitive status and cited claims require independent verification.