Triple

T38260658
Position Surface form Disambiguated ID Type / Status
Subject Abreu equation E1017919 entity
Predicate instanceOf P0 FINISHED
Object equation in Kähler geometry C10781 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: equation in Kähler geometry
Context triple: [Abreu equation, instanceOf, equation in Kähler geometry]
  • A. Kähler metric
    A Kähler metric is a Riemannian metric on a complex manifold that is compatible with both the complex structure and a symplectic form, such that the associated Kähler form is closed.
  • B. result in complex differential geometry
    A result in complex differential geometry is a proven theorem or proposition that describes how geometric structures on complex manifolds behave under conditions involving both complex-analytic and differential properties.
  • C. equation in the calculus of variations chosen
    An equation in the calculus of variations is a mathematical relation, typically an Euler–Lagrange equation, that characterizes the functions making a given functional stationary (usually minimizing or maximizing its value).
  • D. 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.
  • E. Hermitian metric
    A Hermitian metric is a smoothly varying, positive-definite Hermitian inner product on the tangent spaces of a complex manifold, compatible with its complex structure.
  • 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_69f76de33e4481909099fa812709bd42 completed May 3, 2026, 3:46 p.m.
Created at: May 3, 2026, 4:30 p.m.