渐近良好的Kummer型塔的新实例
New examples of asymptotically good Kummer type towers
摘要:
本文给出了由不同类型的Kummer扩张定义的函数域序列具有有限分支轨迹的充分条件。这些条件可以很容易地在计算机中实现,以生成几个示例。我们提出了一些新的例子,渐近良好的库默尔型塔,我们表明,许多已知的例子可以从我们的一般结果。
英文摘要:
In this work, we give sufficient conditions in order to have finite ramification locus in sequences of function fields defined by different kind of Kummer extensions. These conditions can be easily implemented in a computer to generate several examples. We present some new examples of asymptotically good towers of Kummer type and we show that many known examples can be obtained from our general results.
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