论文标题
合成几何的虚拟动机，A。
Virtual motives for synthetic geometries, A. Definition and properties of $K_0(\mathcal{Q}_\ell)$
论文作者
论文摘要
在本说明中，我们介绍了关于发病率的Grothendieck环的第一个基础知识，作为研究合成几何形状的一种新的动机和工具。在这一情况下，我们集中于广义四边形和相关的几何形状。一路上出现了许多问题，新的属性和见解。
In this note, we introduce the first basics on Grothendieck rings for incidence geometries as a new motivic way and tool to study synthetic geometry. In this first instance, we concentrate on generalized quadrangles and related geometries. Many questions, new properties and insights arise along the way.
