论文标题

飞机Cremona组的代数亚组在一个完美的领域

Algebraic subgroups of the plane Cremona group over a perfect field

论文作者

Schneider, Julia, Zimmermann, Susanna

论文摘要

我们表明,在平面cremona组的最大代数亚组中包含平面cremona组的任何无限代数亚组。我们将最大群体及其理性点的亚群体分类为依次通过的偶像图。

We show that any infinite algebraic subgroup of the plane Cremona group over a perfect field is contained in a maximal algebraic subgroup of the plane Cremona group. We classify the maximal groups, and their subgroups of rational points, up to conjugacy by a birational map.

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