Toric-Geometry Contents Fragment

Definitions and mathematical statement

Unrecoverable mathematical statement. The supplied record for UnsolvedMath ID $30006295$, source code catalogue entry, contains a damaged table-of-contents fragment from Toric Geometry (2025). It begins with the isolated word "Conjecture" and a reference to page 900, followed by several distinct contribution titles, contributor names, and page numbers. It supplies no mathematical assertion, definitions, hypotheses, domains, boundary conditions, or quantifiers. Consequently, no precise mathematical statement can be recovered from the supplied evidence. Neither the isolated word "Conjecture" nor a neighboring contribution title identifies the intended problem.

The supplied statement_status is unrecoverable, and no clean statement is supplied. The registry label open reflects the supplied curation's normalization of an unresolved or unclear extraction; it does not establish that an identifiable mathematical conjecture is open. The record's proposed year is 2025, but no proposer is identified.

Short English statement

This record preserves a damaged contents fragment rather than a mathematical problem. Its intended conjecture and attribution cannot be identified from the supplied text. A statement-only draft must therefore retain this limitation pending human review of the relevant report passage.

Sources

• Local UnsolvedMath registry: permanent ID $30006295$, title "Toric-Geometry Contents Fragment," source code catalogue entry, collection Oberwolfach Reports Open Problems. The supplied original and displayed statements retain the same fragment for provenance; no clean statement is promoted.
• Supplied report citation: Toric Geometry (2025), Oberwolfach Reports, pp. 883--940, DOI 10.4171/owr/2025/19. Source URL and supplied literature-source link labeled "original OWR report": https://doi.org/10.4171/owr/2025/19. The supplied background describes these reports as documenting mathematical workshops and their open-problem discussions.
• Fragment provenance: an unidentified entry ending in "Conjecture," p. 900; Patience Ablett, "Gotzmann's persistence theorem for smooth projective toric varieties," p. 903; Karim Adiprasito, "Oda's strong factorization conjecture (and relatives)," p. 905; Klaus Altmann, joint with Andreas Hochenegger and Frederik Witt, "Toric sheaves and polytopes," p. 907; Diane Maclagan, joint with Bivas Khan, "Cryptomorphisms of toric vector bundles," p. 910; Sharon Robins, joint with Nathan Ilten, "Locally trivial deformations of toric varieties," p. 912; Silvia Sabatini, "Positive monotone Hamiltonian spaces and reflexive GKM graphs," p. 914; Alex Fink, joint with Andrew Berget, "Collapsing tautological bundles," p. 917; Yuji Sano, "A-resultants, Hurwitz forms, and energy functionals of toric varieties," p. 919; Julie Rana, joint with Sönke Rollenske, "Standard stable Horikawa surfaces," p. 921; Jesse Huang, joint with David Favero, "Birational Coherent Constructible Correspondence," p. 924. These are contents-entry attributions, not an attribution of the unidentified conjecture.
• Supplied literature assessment, checked on exactly 2026-08-22: the extraction is a truncated table-of-contents fragment, contains no mathematical claim, and was normalized to open because the item is unresolved or unclear. This is supplied dated curation, not an independently verified literature assessment. The background requests independent verification of time-sensitive status and cited claims.
• Supplied statement-verification note: the record reports that the official report confirms a damaged contents extraction rather than a mathematical conjecture, and that the original record remains publicly visible for provenance. This verification claim is supplied metadata and has not been independently checked here.