Triple
T32789968
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gröbner fan |
E838598
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | concept in computational 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: concept in computational algebraic geometry Context triple: [Gröbner fan, instanceOf, concept in computational algebraic geometry]
-
A.
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.
-
B.
Gröbner basis algorithm
A Gröbner basis algorithm is a computational procedure that transforms a set of multivariate polynomials into a special generating set (a Gröbner basis) that simplifies solving and analyzing polynomial ideal problems such as solving systems of equations, ideal membership, and elimination.
-
C.
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.
-
D.
result in real algebraic geometry
A result in real algebraic geometry is a theorem or proposition describing the structure, properties, or behavior of solution sets to polynomial equations and inequalities over the real numbers.
-
E.
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.
- 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_69f3493b83f48190be335cd42465cecf |
completed | April 30, 2026, 12:21 p.m. |
Created at: May 1, 2026, 1:14 a.m.