Triple
T27802693
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cremona group of the projective plane |
E702288
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | birational transformation group |
C51320
|
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: birational transformation group Context triple: [Cremona group of the projective plane, instanceOf, birational transformation group]
-
A.
projective linear group
The projective linear group is the group of invertible linear transformations of a vector space modulo scalar multiples, equivalently the group of automorphisms of a projective space induced by linear maps.
-
B.
real algebraic group
A real algebraic group is a group that is also a real algebraic variety, with group operations (multiplication and inversion) given by regular (polynomial) maps defined over the real numbers.
-
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.
Kleinian group
A Kleinian group is a discrete subgroup of the group of Möbius transformations acting on the Riemann sphere (or equivalently on hyperbolic 3-space), often studied via its geometric and dynamical properties.
-
E.
group (mathematics)
chosen
A group is a set equipped with a single binary operation that is closed, associative, has an identity element, and in which every element has an inverse.
- 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_69ef8408e0588190977cffa32dc33a29 |
completed | April 27, 2026, 3:43 p.m. |
Created at: April 27, 2026, 5:36 p.m.