Triple
T7678349
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hodge Conjecture |
E173923
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | problem in algebraic geometry |
C7254
|
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: problem in algebraic geometry Context triple: [Hodge Conjecture, instanceOf, problem in algebraic geometry]
-
A.
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.
-
B.
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.
-
C.
mathematical problem
chosen
A mathematical problem is a question or task that requires the application of mathematical concepts, methods, or reasoning to find a solution or demonstrate a result.
-
D.
research program in geometry
A research program in geometry is a coordinated, long-term investigation that develops and applies geometric concepts, methods, and conjectures to systematically explore and solve interconnected mathematical problems.
-
E.
nonsingular curve
A nonsingular curve is an algebraic curve with no singular points, meaning it is smooth everywhere and has a well-defined tangent line at every point.
- 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_69c6995703e0819081de77361b602e78 |
completed | March 27, 2026, 2:51 p.m. |
Created at: March 27, 2026, 4:01 p.m.