Triple

T13766009
Position Surface form Disambiguated ID Type / Status
Subject Jean-Daniel Perrin E330742 entity
Predicate isAuthorOf P29721 FINISHED
Object Géométrie algébrique (French textbook)
Géométrie algébrique is a French-language textbook by Jean-Daniel Perrin that introduces the foundations and techniques of modern algebraic geometry for advanced undergraduate and graduate students.
E1058600 NE FINISHED

How this triple was built (4 steps)

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.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Géométrie algébrique (French textbook) | Statement: [Jean-Daniel Perrin, isAuthorOf, Géométrie algébrique (French textbook)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Géométrie algébrique (French textbook)
Context triple: [Jean-Daniel Perrin, isAuthorOf, Géométrie algébrique (French textbook)]
  • A. Éléments de géométrie algébrique
    Éléments de géométrie algébrique is a foundational multi-volume treatise that reshaped modern algebraic geometry by developing the theory of schemes and cohomology in a highly general, abstract framework.
  • B. FGA (Fondements de la géométrie algébrique)
    FGA (Fondements de la géométrie algébrique) is a foundational collection of Alexander Grothendieck’s seminar expositions that systematically developed modern algebraic geometry, including major results such as the Grothendieck–Riemann–Roch theorem.
  • C. Sur les courbes algébriques et les variétés qui s’en déduisent
    Sur les courbes algébriques et les variétés qui s’en déduisent is a foundational 1948 monograph by André Weil that helped establish modern algebraic geometry and introduced key ideas leading to the Weil conjectures.
  • D. GAGA (Géométrie Algébrique et Géométrie Analytique)
    GAGA (Géométrie Algébrique et Géométrie Analytique) is Jean-Pierre Serre’s foundational 1956 paper establishing deep equivalences between algebraic geometry and complex analytic geometry, particularly for projective varieties.
  • E. Théorie des intersections et théorème de Riemann–Roch
    "Théorie des intersections et théorème de Riemann–Roch" is a volume of the Séminaire de Géométrie Algébrique (SGA 6) that develops the foundations of intersection theory in algebraic geometry and establishes a general form of the Riemann–Roch theorem.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Géométrie algébrique (French textbook)
Triple: [Jean-Daniel Perrin, isAuthorOf, Géométrie algébrique (French textbook)]
Generated description
Géométrie algébrique is a French-language textbook by Jean-Daniel Perrin that introduces the foundations and techniques of modern algebraic geometry for advanced undergraduate and graduate students.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Géométrie algébrique (French textbook)
Target entity description: Géométrie algébrique is a French-language textbook by Jean-Daniel Perrin that introduces the foundations and techniques of modern algebraic geometry for advanced undergraduate and graduate students.
  • A. Éléments de géométrie algébrique
    Éléments de géométrie algébrique is a foundational multi-volume treatise that reshaped modern algebraic geometry by developing the theory of schemes and cohomology in a highly general, abstract framework.
  • B. FGA (Fondements de la géométrie algébrique)
    FGA (Fondements de la géométrie algébrique) is a foundational collection of Alexander Grothendieck’s seminar expositions that systematically developed modern algebraic geometry, including major results such as the Grothendieck–Riemann–Roch theorem.
  • C. Sur les courbes algébriques et les variétés qui s’en déduisent
    Sur les courbes algébriques et les variétés qui s’en déduisent is a foundational 1948 monograph by André Weil that helped establish modern algebraic geometry and introduced key ideas leading to the Weil conjectures.
  • D. GAGA (Géométrie Algébrique et Géométrie Analytique)
    GAGA (Géométrie Algébrique et Géométrie Analytique) is Jean-Pierre Serre’s foundational 1956 paper establishing deep equivalences between algebraic geometry and complex analytic geometry, particularly for projective varieties.
  • E. Théorie des intersections et théorème de Riemann–Roch
    "Théorie des intersections et théorème de Riemann–Roch" is a volume of the Séminaire de Géométrie Algébrique (SGA 6) that develops the foundations of intersection theory in algebraic geometry and establishes a general form of the Riemann–Roch theorem.
  • F. None of above. chosen

Provenance (5 batches)

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_69d81c583b0081909e408a17db517a21 completed April 9, 2026, 9:38 p.m.
NER Named-entity recognition batch_69de0227f2c48190983ccc9395e4e7a2 completed April 14, 2026, 9 a.m.
NED1 Entity disambiguation (via context triple) batch_69f7a864c0ac81909e5fcd134ea66414 completed May 3, 2026, 7:56 p.m.
NEDg Description generation batch_69f7a94390988190bcaedcda0b691fbb completed May 3, 2026, 8 p.m.
NED2 Entity disambiguation (via description) batch_69f7a9fe250c8190b66062e7fcea8d86 completed May 3, 2026, 8:03 p.m.
Created at: April 9, 2026, 10:10 p.m.