Triple

T29565469
Position Surface form Disambiguated ID Type / Status
Subject Brauer–Manin obstruction E753151 entity
Predicate instanceOf P0 FINISHED
Object arithmetic-geometric obstruction C38409 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: arithmetic-geometric obstruction
Context triple: [Brauer–Manin obstruction, instanceOf, arithmetic-geometric obstruction]
  • A. result in arithmetic geometry
    A result in arithmetic geometry is a theorem or proposition that connects number-theoretic properties of solutions to polynomial equations with the geometric structure of the varieties they define over arithmetic fields.
  • B. technique in Diophantine geometry
    A technique in Diophantine geometry is a systematic method or tool—often combining algebraic, geometric, and arithmetic ideas—used to study and solve equations with integer or rational solutions on algebraic varieties.
  • C. algebro-geometric notion chosen
    An algebro-geometric notion is a concept that arises from studying geometric objects defined as solution sets to polynomial equations, using the tools and language of algebraic geometry.
  • D. area of algebraic geometry
    An area of algebraic geometry is a subfield focused on a specific collection of problems, techniques, and structures related to the study of solutions to polynomial equations and their geometric properties.
  • E. geometric invariant
    A geometric invariant is a property of a geometric object that remains unchanged under a specified group of transformations, such as rotations, translations, or more general symmetries.
  • 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_69f0ef7fcb4881908a933110adb9bda1 completed April 28, 2026, 5:33 p.m.
Created at: April 28, 2026, 5:52 p.m.