论文标题
非循环生物段场扩展的模量空间的几何形状
The geometry of the moduli Space of non-cyclic biquadratic field extensions
论文作者
论文摘要
在本文中，我们调查了一个基本的Abelian封闭的特征，而不是$ 2 $，而不是$ 2 $。我们发现它存在于任何非循环扩展。我们利用它来获得此类扩展的分类，直到下降到同构。这使我们可以用群体理论术语来描述该模量空间的几何形状。我们还为两个多项式家庭提供了两个参数，可以描述任何四分之一的扩展。
In this paper, we investigate the existence of an elementary abelian closure in characteristic not $2$ for biquadratic extensions. We discover that it exists for any non-cyclic extension. We make use of it to obtain a classification for this class of extensions up to isomorphism via descent. This permits us to describe the geometry of this moduli space in group theoretic terms. We also provide two families of polynomials with two parameters that can describe any quartic extensions.
