论文标题
Minkowski的立方体汇总
Minkowski summands of cubes
论文作者
论文摘要
在1970年代初期迈耶和麦克穆伦的开创性作品中，多面体的Minkowski汇总表明是一种称为型锥体的多面体锥。类型锥体的显式计算通常是棘手的。但是，我们证明了简单产品的类型锥体是单纯形上的锥体。这个非常简单的结果来自有关彩虹点配置和麦克穆伦的作品的见解。
In pioneering works of Meyer and of McMullen in the early 1970s, the set of Minkowski summands of a polytope was shown to be a polyhedral cone called the type cone. Explicit computations of type cones are in general intractable. Nevertheless, we show that the type cone of the product of simplices is the cone over a simplex. This remarkably simple result derives from insights about rainbow point configurations and the work of McMullen.
