论文标题
Veronese在某些二次替代代数上的投射Hjelmslev飞机的代表
Veronese representation of projective Hjelmslev planes over some quadratic alternative algebras
论文作者
论文摘要
我们几何地表征了代数上的环射击平面的Veronese表示，这是双数数字的类似物，从而产生了第2级的HjelmsLev平面，该平面是二级替代方案的坐标。这些平面与相对类型$ \ widetilde {a} _2 $和各自的绝对类型$ \ widetilde {\ Mathsf {a}} _ 2 $，$ \ widetilde {\ wideSf {\ sathsf {a a}} _ 5 $ and $ \ wideteLde}} {
We geometrically characterise the Veronese representations of ring projective planes over algebras which are analogues of the dual numbers, giving rise to projective Hjelmslev planes of level 2 coordinatised over quadratic alternative algebras. These planes are related to affine buildings of relative type $\widetilde{A}_2$ and respective absolute type $\widetilde{\mathsf{A}}_2$, $\widetilde{\mathsf{A}}_5$ and $\widetilde{\mathsf{E}}_6$.
