论文标题
几乎均匀品种在完美领域的形式
Forms of almost homogeneous varieties over perfect fields
论文作者
论文摘要
我们研究了完美基地k上几乎均匀品种的K形式。首先，我们讨论了在均匀案例中存在K形式的标准。然后，我们将Luna-vust理论从代数封闭的磁场扩展到完美的磁场，以确定何时给定的几乎均匀品种的开放轨道何时扩展到整个品种的K形式。最后，在最后一节中，我们应用这些结果来确定复杂的几乎均匀SL（2） - 三重折叠的真实形式。
We study the k-forms of almost homogeneous varieties over perfect base fields k. First, we discuss criteria for the existence of k-forms in the homogeneous case. Then, we extend the Luna-Vust theory from algebraically closed fields to perfect fields to determine when a given k-form of the open orbit of an almost homogeneous variety extends to a k-form of the entire variety. Finally, in the last section, we apply these results to determine the real forms of complex almost homogeneous SL(2)-threefolds.
