Triple
T22328924
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hodge filtration |
E551972
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | structure in Hodge theory |
C3748
|
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: structure in Hodge theory Context triple: [Hodge filtration, instanceOf, structure in Hodge theory]
-
A.
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.
-
B.
decomposition theorem
The decomposition theorem is a fundamental result in algebraic geometry and topology stating that, under suitable conditions, the direct image of an intersection complex under a proper map splits as a direct sum of shifted semisimple perverse sheaves.
-
C.
mathematical structure
chosen
A mathematical structure is a set (or collection of objects) equipped with specified operations, relations, or properties that satisfy given axioms, providing a framework for studying abstract patterns and relationships.
-
D.
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.
-
E.
result in arithmetic geometry
A result in arithmetic geometry is a theorem or proposition that connects number-theoretic properties of solutions to polynomial equations with the geometric structure of the varieties they define over arithmetic fields.
- 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_69e11e482f788190b78d1588fc26d606 |
completed | April 16, 2026, 5:37 p.m. |
Created at: April 16, 2026, 8:43 p.m.