Siegel's theorem in the compact case (Q1175255)
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scientific article; zbMATH DE number 11223
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Siegel's theorem in the compact case |
scientific article; zbMATH DE number 11223 |
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Siegel's theorem in the compact case (English)
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25 June 1992
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This is a very nice and interesting paper. Here the author gives a proof (not effectively computable for the upper bound of heights) of Mordell's conjecture [Now Faltings' theorem: Let \(C\) be a curve of genus \(>1\) defined over an algebraic number field \(k\). Then the set of all \(k\)-rational points of \(C\) is finite], different from Faltings', being motivated by his own proof in the function field case and by the Thue-Siegel-Dyson-Gel'fond theorem.
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Mordell-Faltings theorem
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rational points
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Mordell's conjecture
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function field
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Thue-Siegel-Dyson-Gel'fond theorem
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