Sets definable over finite fields: their zeta-functions

Sets definable over finite fields: their zeta-functions
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DOI:
10.1090/s0002-9947-1976-0422281-1
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发表时间:
1976-10
影响因子:
1.3
通讯作者:
Catarina I. Kiefe
Catarina I. Kiefe
中科院分区:
数学1区
文献类型:
--
作者:
Catarina I. Kiefe

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介绍了有限域上可定义的集合。证明了它们的zeta函数的对数导数的合理性,并给出了一个纯代数内容的应用。所使用的成分是Dwork在有限域和模型理论工具上的代数簇的结果。
Sets definable over finite fields are introduced. The rationality of the logarithmic derivative of their zeta-function is established, an application of purely algebraic content is given. The ingredients used are a result of Dwork on algebraic varieties over finite fields and model-theoretic tools.