发表机构
Curtis University of Washington; Princeton University（华盛顿大学; 普林斯顿大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明光滑多胞形的格弱Minkowski和项具有二次三角剖分，并利用Nakajima多胞形类给出相对IDP的新证明，同时建立相关结构定理。
AI 中文摘要
我们证明了，任何与单纯形乘积组合同构的光滑多胞形的格弱Minkowski和项都具有二次三角剖分。这是通过将该类多胞形与Nakajima多胞形类等同来实现的。我们结合这些结果，给出了一个新的证明：同一此类光滑多胞形的两个格弱Minkowski和项是相对IDP的。在此过程中，我们证明了其2-面为三角形和梯形的简单多胞形的结构定理。
英文摘要
We show that every lattice weak Minkowski summand of a smooth polytope combinatorially isomorphic to a product of simplices has a quadratic triangulation. This is achieved by identifying this class of polytopes with the class of Nakajima polytopes. We combine these results to give a new proof that two lattice weak Minkowski summands of the same such smooth polytope are relatively IDP. Along the way, we prove a structure theorem for simple polytopes whose 2-faces are triangles and trapezoids.
Comments17 pages, 4 figures
