圈的一致界与超积
Uniform bounds and ultraproducts of cycles
摘要：
本文讨论了有理数上光滑投射簇的l-adic上同调中的一个圈在几乎所有有限域上都是代数的，它在有理数上是否也是代数的.我们分别使用A.罗宾逊，作者系统地应用到代数几何。我们以有限域上代数圈复杂性的一致界的形式重新表述了这个问题。
英文摘要：
This paper is about the question whether a cycle in the l-adic cohomology of a smooth projective variety over the rational numbers, which is algebraic over almost all finite fields, is also algebraic over the rationals. We use ultraproducts respectively nonstandard techniques in the sense of A. Robinson, which the authors applied systematically to algebraic geometry. We give a reformulation of the question in form of uniform bounds for the complexity of algebraic cycles over finite fields.
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