Triple
T18956188
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Kummer surface |
E463785
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
Shioda–Inose structures
Shioda–Inose structures are special correspondences between certain K3 surfaces and abelian surfaces that relate their arithmetic and geometric properties, particularly via constructions involving Kummer surfaces.
|
E463785
|
NE FINISHED |
How this triple was built (4 steps)
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.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Shioda–Inose structures | Statement: [Kummer surface, relatedTo, Shioda–Inose structures]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Shioda–Inose structures Context triple: [Kummer surface, relatedTo, Shioda–Inose structures]
-
A.
Strominger–Yau–Zaslow conjecture
The Strominger–Yau–Zaslow conjecture is a proposal in mirror symmetry stating that mirror pairs of Calabi–Yau manifolds can be understood as dual special Lagrangian torus fibrations, providing a geometric explanation of mirror symmetry.
-
B.
Shimura varieties
Shimura varieties are higher-dimensional algebraic varieties that generalize modular curves and play a central role in the Langlands program by connecting number theory, automorphic forms, and arithmetic geometry.
-
C.
Calabi–Yau manifold
A Calabi–Yau manifold is a special type of complex manifold with vanishing first Chern class that plays a central role in string theory compactifications and complex algebraic geometry.
-
D.
Kummer surfaces
Kummer surfaces are special quartic algebraic surfaces in projective three-space characterized by having 16 ordinary double points, extensively studied in the context of complex geometry and abelian varieties.
-
E.
mixed Hodge structures
Mixed Hodge structures are algebraic structures on cohomology groups that generalize pure Hodge structures by incorporating a weight filtration, allowing the study of varieties with singularities or non-compactness.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Shioda–Inose structures Triple: [Kummer surface, relatedTo, Shioda–Inose structures]
Generated description
Shioda–Inose structures are special correspondences between certain K3 surfaces and abelian surfaces that relate their arithmetic and geometric properties, particularly via constructions involving Kummer surfaces.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Shioda–Inose structures Target entity description: Shioda–Inose structures are special correspondences between certain K3 surfaces and abelian surfaces that relate their arithmetic and geometric properties, particularly via constructions involving Kummer surfaces.
-
A.
Strominger–Yau–Zaslow conjecture
The Strominger–Yau–Zaslow conjecture is a proposal in mirror symmetry stating that mirror pairs of Calabi–Yau manifolds can be understood as dual special Lagrangian torus fibrations, providing a geometric explanation of mirror symmetry.
-
B.
Shimura varieties
Shimura varieties are higher-dimensional algebraic varieties that generalize modular curves and play a central role in the Langlands program by connecting number theory, automorphic forms, and arithmetic geometry.
-
C.
Calabi–Yau manifold
A Calabi–Yau manifold is a special type of complex manifold with vanishing first Chern class that plays a central role in string theory compactifications and complex algebraic geometry.
-
D.
Kummer surfaces
chosen
Kummer surfaces are special quartic algebraic surfaces in projective three-space characterized by having 16 ordinary double points, extensively studied in the context of complex geometry and abelian varieties.
-
E.
mixed Hodge structures
Mixed Hodge structures are algebraic structures on cohomology groups that generalize pure Hodge structures by incorporating a weight filtration, allowing the study of varieties with singularities or non-compactness.
- F. None of above.
Provenance (5 batches)
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_69d8dcffc278819086792a4ebfddfafa |
completed | April 10, 2026, 11:20 a.m. |
| NER | Named-entity recognition | batch_69e5d5cdf2d08190a0aecd3fa5335a75 |
completed | April 20, 2026, 7:29 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a059fd529c8819099696dce6a9040de |
completed | May 14, 2026, 10:11 a.m. |
| NEDg | Description generation | batch_6a05a161c8e88190a6f9c9abe3314487 |
completed | May 14, 2026, 10:18 a.m. |
| NED2 | Entity disambiguation (via description) | batch_6a05a1cb500481908608daee7537dd0c |
completed | May 14, 2026, 10:19 a.m. |
Created at: April 10, 2026, noon