Unspecified Surface Singularity Conjecture

Definitions and mathematical statement

The supplied record contains no identifiable mathematical assertion. Its extracted text begins with the isolated table-of-contents entry "Conjecture", associated with page 2619, followed by entries for other contributions. No objects, definitions, hypotheses, domains, boundary conditions, quantifiers, or conclusion of that conjecture are supplied. Consequently, a precise mathematical statement cannot be recovered from this record.

The registry title, "Unspecified Surface Singularity Conjecture", does not itself determine a mathematical claim. The subsequent contribution titles do not establish the subject or authorship of the isolated conjecture. The supplied statement status is unrecoverable, and no clean statement is provided. The supplied verification note reports that the official report confirms the fragment's table-of-contents character and the absence of an identifiable conjecture; this is a supplied verification claim, not an independent verification here.

The registry labels the problem open. Its supplied assessment explicitly assigns that label because the claim is unresolvable under the curation rule; the label does not establish the existence or open status of a particular mathematical conjecture. Recovering the actual conjecture and its attribution is necessary before definitions and a mathematical statement can be drafted.

Short English statement

This record preserves a table-of-contents fragment rather than a conjecture. Its intended mathematical statement and author cannot be identified. The supplied open label reflects a curation rule for an unrecoverable claim. Human source review is required.

Sources

• Local UnsolvedMath registry, supplied record with permanent ID 30004850, exact source problem code catalogue entry, title "Unspecified Surface Singularity Conjecture", in the collection "Oberwolfach Reports Open Problems". The registry supplies proposed year 2021 and no proposer.
• Supplied source citation: Singularities (2022), Oberwolfach Reports, DOI 10.4171/owr/2021/47, pp. 2573--2639. Supplied source URL and literature-source link labelled "original OWR report": https://doi.org/10.4171/owr/2021/47. This report reference supplies provenance, but the supplied excerpt contains no identifiable conjecture.
• The fragment lists "Conjecture" at p. 2619; Baldur Sigurðsson, joint with András Némethi, "Local Newton nondegenerate Weil divisors in toric varieties" at p. 2621; Jan Stevens, joint with Gavin Brown and Miles Reid, "Tom and Jerry" at p. 2624; Jonathan Wahl, joint with Walter D. Neumann, "Orbifold splice quotients and log covers of surface pairs" at p. 2626; Andrzej Weber, joint with Jakub Koncki, "From elliptic characteristic classes to twisted motivic" at p. 2628; and "Chenyang, Xu", "Stability of singularities" at p. 2632. These are supplied contextual entries, not established attribution of the isolated conjecture; the Weber title is retained as supplied without completion.
• Literature assessment dated exactly 2026-08-22: the supplied curation classifies the record as open because the extracted fragment identifies no mathematical claim. The background describes this as dated literature triage derived from supplied OWR curation and requests independent verification of time-sensitive status and cited claims. This assessment and the supplied source-verification note have not been independently verified here.