Triple

T14337271
Position Surface form Disambiguated ID Type / Status
Subject Kunihiko Kodaira E355495 entity
Predicate publication P80 FINISHED
Object Complex Manifolds and Deformation of Complex Structures
"Complex Manifolds and Deformation of Complex Structures" is a foundational mathematical monograph by Kunihiko Kodaira that systematically develops the theory of complex manifolds and their deformations, shaping modern complex geometry.
E1093021 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Complex Manifolds and Deformation of Complex Structures | Statement: [Kunihiko Kodaira, publication, Complex Manifolds and Deformation of Complex Structures]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Complex Manifolds and Deformation of Complex Structures
Context triple: [Kunihiko Kodaira, publication, Complex Manifolds and Deformation of Complex Structures]
  • A. Differential Analysis on Complex Manifolds
    "Differential Analysis on Complex Manifolds" is a foundational mathematical monograph that systematically develops the theory of differential and complex geometry on complex manifolds.
  • B. Several Complex Variables
    "Several Complex Variables" is a foundational mathematical text that systematically develops the theory of functions of several complex variables and has significantly influenced modern complex analysis.
  • C. Dolbeault cohomology classes
    Dolbeault cohomology classes are equivalence classes of differential forms on a complex manifold defined using the ∂̄-operator, encoding the manifold’s complex-analytic and geometric structure.
  • D. Singular Points of Complex Hypersurfaces
    "Singular Points of Complex Hypersurfaces" is a foundational monograph in singularity theory that systematically studies the local and topological properties of singularities arising in complex algebraic and analytic hypersurfaces.
  • E. Riemann surfaces
    Riemann surfaces are one-dimensional complex manifolds that provide the natural geometric setting for studying complex analytic functions and their multi-valued behavior.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Complex Manifolds and Deformation of Complex Structures
Triple: [Kunihiko Kodaira, publication, Complex Manifolds and Deformation of Complex Structures]
Generated description
"Complex Manifolds and Deformation of Complex Structures" is a foundational mathematical monograph by Kunihiko Kodaira that systematically develops the theory of complex manifolds and their deformations, shaping modern complex geometry.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Complex Manifolds and Deformation of Complex Structures
Target entity description: "Complex Manifolds and Deformation of Complex Structures" is a foundational mathematical monograph by Kunihiko Kodaira that systematically develops the theory of complex manifolds and their deformations, shaping modern complex geometry.
  • A. Differential Analysis on Complex Manifolds
    "Differential Analysis on Complex Manifolds" is a foundational mathematical monograph that systematically develops the theory of differential and complex geometry on complex manifolds.
  • B. Several Complex Variables
    "Several Complex Variables" is a foundational mathematical text that systematically develops the theory of functions of several complex variables and has significantly influenced modern complex analysis.
  • C. Dolbeault cohomology classes
    Dolbeault cohomology classes are equivalence classes of differential forms on a complex manifold defined using the ∂̄-operator, encoding the manifold’s complex-analytic and geometric structure.
  • D. Singular Points of Complex Hypersurfaces
    "Singular Points of Complex Hypersurfaces" is a foundational monograph in singularity theory that systematically studies the local and topological properties of singularities arising in complex algebraic and analytic hypersurfaces.
  • E. Riemann surfaces
    Riemann surfaces are one-dimensional complex manifolds that provide the natural geometric setting for studying complex analytic functions and their multi-valued behavior.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69d8278fa2108190bc0d0e7939c1eb03 completed April 9, 2026, 10:26 p.m.
NER Named-entity recognition batch_69de8c2241e48190a0c626b3d741966a completed April 14, 2026, 6:49 p.m.
NED1 Entity disambiguation (via context triple) batch_69fd46986758819088750150ad47bae1 completed May 8, 2026, 2:12 a.m.
NEDg Description generation batch_69fd47a9b5008190a15de0f427771505 completed May 8, 2026, 2:17 a.m.
NED2 Entity disambiguation (via description) batch_69fd4828f44c81908903d1391c83cc60 completed May 8, 2026, 2:19 a.m.
Created at: April 10, 2026, 1:14 a.m.