Isolated Hyperkähler Conjecture Label

Definitions and mathematical statement

The supplied record for permanent UnsolvedMath ID $30005966$, source code catalogue entry, contains only the following purported statement:

conjecture. The report passage is retained verbatim as the relevant context for this extracted problem.

The record supplies no mathematical definitions, hypotheses, domains, quantifiers, boundary conditions, or conclusion. Its supplied statement status is unrecoverable. Its verification note reports that the official report identifies the extraction as an isolated table-of-contents fragment containing only the word "conjecture"; this is supplied verification information, not an independent verification performed for this draft.

Consequently, no precise mathematical proposition can be recovered from the supplied evidence. The title "Isolated Hyperkähler Conjecture Label" does not identify a particular conjecture or justify introducing any mathematical objects. A complete, reliably located source passage is needed before a mathematical statement can be formulated.

The registry labels the record open. Its supplied assessment retains that label under a curation rule because no mathematical claim can be identified; this does not establish that an identifiable conjecture is mathematically open.

Short English statement

This record is an unrecoverable extraction consisting of the label "conjecture", with no identifiable mathematical claim. Its supplied open status reflects a curation rule. Recovering the full source passage is necessary before drafting a precise conjecture.

Sources

• Local registry: data/unsolvedmath/problems.json, permanent UnsolvedMath ID $30005966$, source problem code catalogue entry; supplied title: "Isolated Hyperkähler Conjecture Label". Collection: Oberwolfach Reports Open Problems; category: Algebraic Geometry.
• Supplied report citation: Algebraic Geometry: Wall Crossing and Moduli Spaces, Varieties and Derived Categories (2025), Oberwolfach Reports, DOI 10.4171/owr/2024/32, pp. 1787--1854. Supplied source URL: https://doi.org/10.4171/owr/2024/32. The record describes Oberwolfach Reports as documenting mathematical workshops and their open-problem discussions. No individual proposer is supplied.
• Supplied literature source, labeled "original OWR report": https://doi.org/10.4171/owr/2024/32. The exact supplied literature-check date is 2026-08-22. This is supplied dated curation, not an independently verified literature assessment. Its assessment says that the record consists only of the word "conjecture", so no mathematical claim can be identified, and that it remains labeled open under the stated rule. The supplied background requests independent verification of time-sensitive status and cited claims.
• Source qualifications: the record gives proposed year $2024$ and the tag owr-year:2024, while its report citation displays $2025$. These supplied dates are retained without resolving their relationship. The report is cited as an authoritative source, but no usable mathematical passage, precise fragment location, or attribution to a particular author is supplied.