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Deligne: La conjecture de Weil I

Proved the remaining Riemann-hypothesis part of the Weil conjectures for varieties over finite fields using the étale-cohomological framework and weight arguments stated in the paper.

What is recorded here?

Proved the remaining Riemann-hypothesis part of the Weil conjectures for varieties over finite fields using the étale-cohomological framework and weight arguments stated in the paper.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

The record is Deligne’s sole-author 1974 IHÉS paper. It does not absorb Weil’s formulation, Dwork’s rationality proof, Grothendieck and collaborators’ cohomological foundations, or Deligne’s later Weil II generalizations.

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People and systems

Pierre Deligne

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

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Documented countries / regions: France

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English catalogue narrative

Deligne: La conjecture de Weil I

Proved the remaining Riemann-hypothesis part of the Weil conjectures for varieties over finite fields using the étale-cohomological framework and weight arguments stated in the paper.

Scientific scope

The record is Deligne’s sole-author 1974 IHÉS paper. It does not absorb Weil’s formulation, Dwork’s rationality proof, Grothendieck and collaborators’ cohomological foundations, or Deligne’s later Weil II generalizations.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Pierre Deligne

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Original sources