Sur les courbes algébriques et les variétés qui s’en déduisent

E244839

book mathematics monograph work in algebraic geometry

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.

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All labels observed (1)

Label	Occurrences
Sur les courbes algébriques et les variétés qui s’en déduisent canonical	2

Statements (40)

Predicate	Object
instanceOf	book ⓘ mathematics monograph ⓘ work in algebraic geometry ⓘ
author	André Weil ⓘ
authorBirthYear	1906 ⓘ
authorDeathYear	1998 ⓘ
citedAs	Weil 1948 monograph on algebraic curves and varieties ⓘ
contributedTo	foundations of modern algebraic geometry ⓘ
field	algebraic geometry ⓘ number theory ⓘ
hasAuthorNationality	French ⓘ
hasInfluenceOn	later textbooks in algebraic geometry ⓘ research on curves over finite fields ⓘ
historicalSignificance	helped establish modern algebraic geometry ⓘ provided early formulation of ideas leading to the Weil conjectures ⓘ
influenced	Grothendieck’s reformulation of algebraic geometry ⓘ Weil conjectures ⓘ development of scheme theory ⓘ modern theory of Abelian varieties ⓘ
introducedConcept	Weil cohomological ideas for zeta functions ⓘ abstract approach to algebraic curves over arbitrary fields ⓘ
language	French ⓘ
mathematicalArea	arithmetic geometry ⓘ classical algebraic geometry ⓘ
originalTitle	Sur les courbes algébriques et les variétés qui s’en déduisent self-link ⓘ
publicationYear	1948 ⓘ
relatedTo	Weil conjectures ⓘ surface form: Riemann hypothesis for curves over finite fields Weil conjectures ⓘ zeta function of a curve over a finite field ⓘ
topic	Abelian varieties ⓘ Jacobian varieties ⓘ algebraic curves ⓘ algebraic varieties ⓘ divisors on algebraic curves ⓘ function fields of curves ⓘ intersection theory ⓘ rational points on curves ⓘ zeta functions of varieties over finite fields ⓘ
usedMethod	geometric interpretation of number-theoretic problems ⓘ intersection-theoretic arguments ⓘ

How these facts were elicited

The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.

Instruction

You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10.

# Requirements
- If you don't know the subject at all, return an empty list.
- If the subject is not a named entity, return an empty list.
- Include at least one triple where predicate is "instanceOf".
- Do not get too wordy.
- Separate several objects into multiple triples with one object.

Input

Subject: Sur les courbes algébriques et les variétés qui s’en déduisent
Description of subject: 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.

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

André Weil → notableWork → Sur les courbes algébriques et les variétés qui s’en déduisent ⓘ

Sur les courbes algébriques et les variétés qui s’en déduisent → originalTitle → Sur les courbes algébriques et les variétés qui s’en déduisent self-link ⓘ