Triple
T5657947
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Charles Fefferman |
E124664
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Fefferman metric in several complex variables
The Fefferman metric in several complex variables is a canonical Lorentz–Kähler-type metric associated with strictly pseudoconvex domains, fundamental in the study of CR geometry and the boundary behavior of holomorphic functions.
|
E537774
|
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: Fefferman metric in several complex variables | Statement: [Charles Fefferman, notableWork, Fefferman metric in several complex variables]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Fefferman metric in several complex variables Context triple: [Charles Fefferman, notableWork, Fefferman metric in several complex variables]
-
A.
Lempert function on convex domains
The Lempert function on convex domains is a complex-analytic invariant that coincides with the Kobayashi distance and provides an extremal characterization of holomorphic mappings between convex domains in several complex variables.
-
B.
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.
-
C.
Bergman metric
The Bergman metric is a canonical Kähler metric on complex domains derived from the Bergman kernel, widely used in several complex variables and complex differential geometry.
-
D.
Monge–Ampère equation
The Monge–Ampère equation is a fully nonlinear partial differential equation central to differential geometry, optimal transport, and several complex variables, often used to study curvature and geometric structures.
-
E.
Carathéodory metric
The Carathéodory metric is an intrinsic distance function in complex analysis that measures how far apart points are in a domain based on holomorphic mappings into the unit disk.
- 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: Fefferman metric in several complex variables Triple: [Charles Fefferman, notableWork, Fefferman metric in several complex variables]
Generated description
The Fefferman metric in several complex variables is a canonical Lorentz–Kähler-type metric associated with strictly pseudoconvex domains, fundamental in the study of CR geometry and the boundary behavior of holomorphic functions.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Fefferman metric in several complex variables Target entity description: The Fefferman metric in several complex variables is a canonical Lorentz–Kähler-type metric associated with strictly pseudoconvex domains, fundamental in the study of CR geometry and the boundary behavior of holomorphic functions.
-
A.
Lempert function on convex domains
The Lempert function on convex domains is a complex-analytic invariant that coincides with the Kobayashi distance and provides an extremal characterization of holomorphic mappings between convex domains in several complex variables.
-
B.
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.
-
C.
Bergman metric
The Bergman metric is a canonical Kähler metric on complex domains derived from the Bergman kernel, widely used in several complex variables and complex differential geometry.
-
D.
Monge–Ampère equation
The Monge–Ampère equation is a fully nonlinear partial differential equation central to differential geometry, optimal transport, and several complex variables, often used to study curvature and geometric structures.
-
E.
Carathéodory metric
The Carathéodory metric is an intrinsic distance function in complex analysis that measures how far apart points are in a domain based on holomorphic mappings into the unit disk.
- 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_69c0082774a481909d7e63fb2aad56ac |
completed | March 22, 2026, 3:17 p.m. |
| NER | Named-entity recognition | batch_69c022fc54f08190aacc200be31a4256 |
completed | March 22, 2026, 5:12 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c04da37ffc819095f33e7e66e7c1d0 |
completed | March 22, 2026, 8:14 p.m. |
| NEDg | Description generation | batch_69c04ede30088190a70607458f4653d0 |
completed | March 22, 2026, 8:19 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69c04fb365cc8190b825f7c1d66aee0f |
completed | March 22, 2026, 8:23 p.m. |
Created at: March 22, 2026, 3:42 p.m.