Geometric proofs of theorems of Ax-Kochen and Eršov (Q2800425)
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scientific article; zbMATH DE number 6569413
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric proofs of theorems of Ax-Kochen and Eršov |
scientific article; zbMATH DE number 6569413 |
Statements
Geometric proofs of theorems of Ax-Kochen and Eršov (English)
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15 April 2016
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\(p\)-adic Diophantine equations
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weak toroidalization
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transfer principle
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quantifier elimination theorems
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0.90583766
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0.90481704
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0.9045707
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0.8994342
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0.89629483
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0.89191836
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0.8914921
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0.8906213
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The author gives a proof of Ax-Kochen's theorem on \(p\)-adic forms using a result named as ``transfer of surjectivity'', which is proved by a theorem on weak toroidalization of morphisms.
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