Triple
T33578914
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Jacobian variety |
E860099
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | complex torus |
C65522
|
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: complex torus Context triple: [Jacobian variety, instanceOf, complex torus]
-
A.
complex surface
A complex surface is a two-dimensional complex manifold (equivalently, a four-dimensional real manifold) equipped with a holomorphic structure, often studied via its complex-analytic, algebraic, and topological properties.
-
B.
problem in the theory of Abelian functions
A problem in the theory of Abelian functions concerns questions about the properties, classification, or explicit determination of multivalued complex functions arising from integrals of algebraic differentials on Riemann surfaces and their associated period relations.
-
C.
bounded symmetric domain (up to biholomorphism)
A bounded symmetric domain (up to biholomorphism) is a connected bounded open subset of complex Euclidean space whose biholomorphic automorphism group acts transitively and admits, at each point, an involutive automorphism reversing all geodesics through that point, considered up to biholomorphic equivalence.
-
D.
extended complex plane
The extended complex plane is the complex number system augmented with a single point at infinity, forming a compact space often visualized as the Riemann sphere.
-
E.
geodesic in moduli space
A geodesic in moduli space is the locally length-minimizing path (with respect to a chosen natural metric, such as the Weil–Petersson metric) that describes the most efficient deformation of complex structures or geometric data between two points in the moduli space.
- 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_69f3497d37848190afcbb5ef3f5c7376 |
completed | April 30, 2026, 12:22 p.m. |
Created at: May 1, 2026, 1:40 a.m.