Estimates for Tamagawa numbers of diagonal cubic surfaces (Q982534)
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scientific article; zbMATH DE number 5731638
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimates for Tamagawa numbers of diagonal cubic surfaces |
scientific article; zbMATH DE number 5731638 |
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Estimates for Tamagawa numbers of diagonal cubic surfaces (English)
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7 July 2010
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E. Peyre [Duke Math. J. 79, No. 1, 101--218 (1995; Zbl 0901.14025)] introduced for a cubic surface \(S\) a Tamagawa type number \(\tau(S)\), which is (conjecturally) related with the asymptotic behavior of the number of points of \(S\) of bounded height. The authors show that for each \(T>0\) the number of diagonal cubic surfaces such that \(\tau(S)>T\) is finite.
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diagonal cubic surfaces
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Peyre's Tamagawa number
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