Triple
T25073734
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Grothendieck’s scheme-theoretic framework |
E627992
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | reformulation of classical algebraic geometry |
C27156
|
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: reformulation of classical algebraic geometry Context triple: [Grothendieck’s scheme-theoretic framework, instanceOf, reformulation of classical algebraic geometry]
-
A.
area of algebraic geometry
chosen
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.
-
B.
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.
-
C.
algebraic variety
An algebraic variety is a geometric object defined as the set of common solutions to a system of polynomial equations over a field, studied up to algebraic and topological properties.
-
D.
algebro-geometric notion
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.
-
E.
problem in invariant theory
A problem in invariant theory concerns determining and characterizing the algebraic functions (invariants) that remain unchanged under the action of a given group on a vector space or algebraic variety.
- 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.