Triple
T25073735
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Grothendieck’s scheme-theoretic framework |
E627992
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | scheme-theoretic approach |
C38409
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: scheme-theoretic approach Context triple: [Grothendieck’s scheme-theoretic framework, instanceOf, scheme-theoretic approach]
-
A.
algebro-geometric notion
chosen
An algebro-geometric notion is a concept that arises from studying geometric objects defined as solution sets to polynomial equations, using the tools and language of algebraic geometry.
-
B.
area of algebraic geometry
An area of algebraic geometry is a subfield focused on a specific collection of problems, techniques, and structures related to the study of solutions to polynomial equations and their geometric properties.
-
C.
work in algebraic geometry
Work in algebraic geometry studies geometric objects defined as solution sets to polynomial equations, using tools from commutative algebra and topology to understand their structure, classification, and morphisms between them.
-
D.
cohomology theory
A cohomology theory is a functorial assignment of graded algebraic invariants to topological spaces (or other mathematical objects) that encodes global structural and obstruction information via axioms such as exactness and homotopy invariance.
-
E.
commutative algebra concept
A commutative algebra concept is an abstract mathematical notion involving commutative rings, their ideals, modules, and related structures, used to study algebraic properties that often underlie geometry and number theory.
- F. None of above.
Provenance (1 batch)
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_69e2ff2d71dc8190b4758e57d643cbe4 |
completed | April 18, 2026, 3:49 a.m. |
Created at: April 18, 2026, 6:20 a.m.