Faltings: finiteness theorems for abelian varieties

What changed

Established finiteness theorems for abelian varieties yielding Mordell rational-point finiteness.

Scientific scope

The record is Faltings’s sole-author 1983 Inventiones Mathematicae paper, volume 73, pages 349–366. It does not merge the 1984 erratum, translations, later proof simplifications or stronger later arithmetic results.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Faltings’s sole-author 1983 Inventiones Mathematicae paper, volume 73, pages 349–366. It does not merge the 1984 erratum, translations, later proof simplifications or stronger later arithmetic results.

Contributors

• Gerd Faltings · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• Original Faltings paper copy
• Publisher DOI record for Faltings paper

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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