论文标题

每个生成多层都非常单型

Every generating polytope is strongly monotypic

论文作者

Bui, Vuong

论文摘要

我们证明了麦克穆伦,施耐德和谢弗的旧猜想,即每个与生成特性的多主体都是强烈的单型。另一个方向已经知道,这意味着强大的单型和多型的产生特性是相同的概念。还给出了单型和强烈单型多面体的标准。

We prove an old conjecture of McMullen, Schneider and Shephard that every polytope with the generating property is strongly monotypic. The other direction is already known, which implies that strong monotypy and the generating property for polytopes are the same notion. A criterion for monotypic and strongly monotypic polytopes is also given.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源