Triple
T38260659
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Abreu equation |
E1017919
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | equation in toric geometry |
C64675
|
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: equation in toric geometry Context triple: [Abreu equation, instanceOf, equation in toric geometry]
-
A.
object of enumerative geometry
An object of enumerative geometry is a geometric configuration (such as curves, surfaces, or higher-dimensional varieties) counted according to specified incidence or intersection conditions within an ambient space.
-
B.
equidimensional equation
An equidimensional equation is a differential equation in which each term scales by the same factor under a power-law change of the independent variable, allowing it to be solved via a substitution that reduces it to one with constant coefficients.
-
C.
divisor in algebraic geometry
A divisor in algebraic geometry is a formal finite integer linear combination of irreducible codimension-one subvarieties (or points on a curve), used to encode zeros and poles of rational functions and to study line bundles and linear systems.
-
D.
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.
-
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. chosen
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_69f76de33e4481909099fa812709bd42 |
completed | May 3, 2026, 3:46 p.m. |
Created at: May 3, 2026, 4:30 p.m.