Math-14759 · mathematics · Algebraic geometry

Math-14759

Unspecified Real Enumerative Geometry Conjecture

Status Open · unsolvedmath.comLLM status Open unverified

Top Open Problems Not reported cataloguedOpenOpen

Statement

Definitions and mathematical statement

Formulation unavailable. The supplied local registry record for permanent UnsolvedMath ID $30005940$ contains a truncated table-of-contents fragment, not a recoverable mathematical problem. Its opening word, "conjecture," is followed by a page reference to 1306; the conjecture's title, author, and assertion are absent. The subsequent contribution titles do not identify which mathematical assertion this record intends to pose.

Consequently, no mathematical objects, definitions, hypotheses, domains, boundary conditions, quantifiers, or conclusion can be specified reliably from the supplied evidence. In particular, the contribution title concerning Gromov--Witten invariants of log Calabi--Yau $3$-folds cannot by itself supply the intended conjecture or its hypotheses. A precise mathematical statement requires recovery of the intended passage from the cited report.

The registry labels the record open, but also gives its statement status as unrecoverable. These are supplied curation labels, not an independently verified mathematical status. This is a statement-only draft requiring human mathematical review.

Short English statement

The supplied text lists workshop contributions and page numbers. It does not state an identifiable conjecture, so a precise mathematical formulation cannot be recovered without additional source text.

Sources

  • Supplied local registry record: permanent UnsolvedMath ID $30005940$, source problem code catalogue entry, title "Unspecified Real Enumerative Geometry Conjecture," in the collection Oberwolfach Reports Open Problems. No proposer is supplied; the recorded proposed year is 2024.
  • Supplied report citation: Real and Logarithmic Enumerative Geometry (2024), Oberwolfach Reports, pp. 1285--1338, DOI 10.4171/owr/2024/23. The source URL and the literature-source link labelled "Oberwolfach Report 23/2024" are both https://doi.org/10.4171/owr/2024/23. This is report-level provenance; the supplied fragment does not establish an authoritative citation for a particular mathematical conjecture.
  • The fragment begins with "conjecture" and page 1306, without the preceding title or attribution. It then lists Pierrick Bousseau, joint with Hülya Argüz, "Generalized Block--Göttsche polynomials and Welschinger invariants," p. 1309; Jake Solomon, "Towards quadratically enriched Gromov--Witten theory," p. 1311; and Thomas Guidoni, "Givental reconstruction for real Gromov--Witten invariants," p. 1315.
  • The remaining listed contributions are Franchesca Carocci, joint with Luca Battistella and Jonathan Wise, "Logarithmic linear series," p. 1318; Brett Parker, "Gromov--Witten invariants of log Calabi--Yau $3$-folds are holomorphic Lagrangian correspondences," p. 1321; Hülya Argüz, joint with Valery Alexeev and Pierrick Bousseau, "The KSBA moduli space of stable log Calabi--Yau surfaces," p. 1322; and Matilde Manzaroli, joint with Emiliano Ambrosi, "Topology of totally real degenerations," p. 1325. These are supplied contribution attributions, not established attributions of the unidentified conjecture.
  • Literature assessment dated 2026-08-22: the supplied curation labels the record open and states that its truncated table-of-contents text leaves the underlying assertion unclear and prevents classification as resolved. This is supplied dated curation, not independently verified. The background describes Oberwolfach Reports as documenting mathematical workshops and open-problem discussions, and explicitly requests independent verification of time-sensitive status and cited claims.
  • Supplied statement-verification note: the extraction is a table-of-contents fragment ending in a contribution title, no separate clean statement is promoted, and the original record remains publicly visible for provenance. The report passage is retained in the registry as context for the extracted problem.

Catalogue entry

Statement licence: CC-BY-SA-4.0 · Source file

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