Triple
T22668862
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Chevalley’s theorem in algebraic geometry |
E559865
|
entity |
| Predicate | appearsIn |
P795
|
FINISHED |
| Object | Hartshorne’s Algebraic Geometry |
—
|
NE NERFINISHED |
How this triple was built (2 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: Hartshorne’s Algebraic Geometry | Statement: [Chevalley’s theorem in algebraic geometry, appearsIn, Hartshorne’s Algebraic Geometry]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Hartshorne’s Algebraic Geometry Context triple: [Chevalley’s theorem in algebraic geometry, appearsIn, Hartshorne’s Algebraic Geometry]
-
A.
Hartshorne Algebraic Geometry
chosen
Hartshorne Algebraic Geometry is a foundational graduate-level textbook by Robin Hartshorne that systematically develops modern algebraic geometry using schemes and cohomology.
-
B.
Algebraic Geometry: An Introduction
"Algebraic Geometry: An Introduction" is a foundational textbook by Jean-Daniel Perrin that provides a rigorous yet accessible entry into the modern theory of algebraic geometry.
-
C.
The Geometry of Schemes
The Geometry of Schemes is a graduate-level textbook by David Eisenbud and Joe Harris that provides an accessible, example-driven introduction to the language and techniques of scheme theory in modern algebraic geometry.
-
D.
Serre’s cohomological methods in algebraic geometry
Serre’s cohomological methods in algebraic geometry are foundational techniques that use sheaf cohomology to relate and study algebraic and analytic geometry, profoundly influencing modern algebraic geometry and complex geometry.
-
E.
Géométrie algébrique (French textbook)
Géométrie algébrique is a French-language textbook by Jean-Daniel Perrin that introduces the foundations and techniques of modern algebraic geometry for advanced undergraduate and graduate students.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 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_69e2454a158c819093b8e35f5045efb6 |
completed | April 17, 2026, 2:35 p.m. |
| NER | Named-entity recognition | batch_69f1781de1d48190947cb1bb9d0890d9 |
completed | April 29, 2026, 3:16 a.m. |
Created at: April 17, 2026, 3:09 p.m.