Triple
T36409058
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lubin–Tate formal groups |
E896826
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | formal group law |
C62868
|
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: formal group law Context triple: [Lubin–Tate formal groups, instanceOf, formal group law]
-
A.
one-dimensional formal group law
chosen
A one-dimensional formal group law is a power series F(X,Y) over a commutative ring, with no constant term and linear terms X+Y, that defines a group structure on the formal neighborhood of 0 by satisfying associativity, commutativity, identity, and inverse axioms in the category of formal schemes.
-
B.
formal power series
A formal power series is an infinite sum of terms \(a_n x^n\) treated purely algebraically, without concern for convergence, where coefficients \(a_n\) come from a given ring or field.
-
C.
linear algebraic group
A linear algebraic group is a group that is also an affine algebraic variety, whose group operations (multiplication and inversion) are given by regular polynomial maps when the group is realized as a closed subgroup of some general linear group GLₙ.
-
D.
functor on groups
A functor on groups is a structure-preserving mapping from the category of groups to another category (often groups or sets) that assigns to each group an object and to each group homomorphism a corresponding morphism, respecting composition and identities.
-
E.
L-function
An L-function is a complex analytic function, typically expressed as a Dirichlet series with an Euler product, that encodes deep arithmetic information about objects such as numbers, fields, or algebraic varieties.
- 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_69f76e54ce408190849acc3f7758937c |
completed | May 3, 2026, 3:48 p.m. |
Created at: May 3, 2026, 4:10 p.m.