论文标题
二维仿射建筑物的小组动作的固定点
Fixed points for group actions on 2-dimensional affine buildings
论文作者
论文摘要
我们证明了作用于仿期建筑物(可能是非乱差)$ \ tilde {a} _2 $或$ \ tilde {c} _2 $的固定点的局部到全球结果。在离散的情况下,我们的定理确定了侯爵的相应猜想的特殊案例。
We prove a local-to-global result for fixed points of groups acting on affine buildings (possibly non-discrete) of types $\tilde{A}_2$ or $\tilde{C}_2$. In the discrete case, our theorem establishes the corresponding special cases of a conjecture by Marquis.