Triple

T18282598
Position Surface form Disambiguated ID Type / Status
Subject Claire Voisin E437898 entity
Predicate hasWritten P2831 FINISHED
Object “Miroirs et involutions sur les variétés kählériennes”
“Miroirs et involutions sur les variétés kählériennes” is a mathematical work by Claire Voisin that studies mirror phenomena and involutive symmetries in the context of Kähler manifolds within complex algebraic geometry.
E1316069 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: “Miroirs et involutions sur les variétés kählériennes” | Statement: [Claire Voisin, hasWritten, “Miroirs et involutions sur les variétés kählériennes”]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: “Miroirs et involutions sur les variétés kählériennes”
Context triple: [Claire Voisin, hasWritten, “Miroirs et involutions sur les variétés kählériennes”]
  • A. Kähler identities
    Kähler identities are fundamental commutation relations in Kähler geometry that link the Lefschetz operator, its adjoint, and the Dolbeault operators, playing a key role in Hodge theory and complex differential geometry.
  • B. Kähler–Ricci flow
    Kähler–Ricci flow is a geometric evolution equation that deforms Kähler metrics on complex manifolds according to their Ricci curvature, playing a central role in complex differential geometry and the study of canonical metrics.
  • C. Kähler manifold
    A Kähler manifold is a complex manifold equipped with a Hermitian metric whose associated symplectic form is closed, making it simultaneously a complex, Riemannian, and symplectic manifold in a compatible way.
  • D. Kähler geometry
    Kähler geometry is a branch of differential geometry studying complex manifolds equipped with a compatible symplectic form and Riemannian metric, leading to rich interactions between complex, symplectic, and Riemannian geometry.
  • E. 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.
  • 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: “Miroirs et involutions sur les variétés kählériennes”
Triple: [Claire Voisin, hasWritten, “Miroirs et involutions sur les variétés kählériennes”]
Generated description
“Miroirs et involutions sur les variétés kählériennes” is a mathematical work by Claire Voisin that studies mirror phenomena and involutive symmetries in the context of Kähler manifolds within complex algebraic geometry.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: “Miroirs et involutions sur les variétés kählériennes”
Target entity description: “Miroirs et involutions sur les variétés kählériennes” is a mathematical work by Claire Voisin that studies mirror phenomena and involutive symmetries in the context of Kähler manifolds within complex algebraic geometry.
  • A. Kähler identities
    Kähler identities are fundamental commutation relations in Kähler geometry that link the Lefschetz operator, its adjoint, and the Dolbeault operators, playing a key role in Hodge theory and complex differential geometry.
  • B. Kähler–Ricci flow
    Kähler–Ricci flow is a geometric evolution equation that deforms Kähler metrics on complex manifolds according to their Ricci curvature, playing a central role in complex differential geometry and the study of canonical metrics.
  • C. Kähler manifold
    A Kähler manifold is a complex manifold equipped with a Hermitian metric whose associated symplectic form is closed, making it simultaneously a complex, Riemannian, and symplectic manifold in a compatible way.
  • D. Kähler geometry
    Kähler geometry is a branch of differential geometry studying complex manifolds equipped with a compatible symplectic form and Riemannian metric, leading to rich interactions between complex, symplectic, and Riemannian geometry.
  • E. 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.
  • 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_69d8b914530c8190b4474d862a2b2a1b completed April 10, 2026, 8:47 a.m.
NER Named-entity recognition batch_69e50057c5c881909fcda72f4a98c8c3 completed April 19, 2026, 4:18 p.m.
NED1 Entity disambiguation (via context triple) batch_6a03b4029cb88190963ae33570455c2d completed May 12, 2026, 11:13 p.m.
NEDg Description generation batch_6a03b501b630819094c77aebf62081a2 completed May 12, 2026, 11:17 p.m.
NED2 Entity disambiguation (via description) batch_6a03b5c09f4881909fb0ead5fc48895c completed May 12, 2026, 11:20 p.m.
Created at: April 10, 2026, 10:35 a.m.