What is recorded here?
Proved finiteness results for abelian varieties, including the Tate and Shafarevich conjectures in the stated setting, with Mordell’s conjecture on rational points as a consequence.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
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.
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People and systems
Gerd Faltings
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: Germany
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English catalogue narrative
Faltings: finiteness theorems for abelian varieties
Proved finiteness results for abelian varieties, including the Tate and Shafarevich conjectures in the stated setting, with Mordell’s conjecture on rational points as a consequence.
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.
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
Gerd Faltings
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.