论文标题
正常的多面体和椭圆形
Normal polytopes and ellipsoids
论文作者
论文摘要
我们表明：（1）晶格中的3个polytope中的单模型简形覆盖了多上衣边界的一个邻域，并且仅当polytope非常丰富时，（2）r^3中每个椭圆形的晶格凸凸凸凸凸，至少在5个d）中，并且（3）至少在5个d）中。这些椭圆形甚至不正常。第（3）部分回答了Bruns，Michalek和作者的问题。
We show that: (1) unimodular simplices in a lattice 3-polytope cover a neighborhood of the boundary of the polytope if and only if the polytope is very ample, (2) the convex hull of lattice points in every ellipsoid in R^3 has a unimodular cover, and (3) for every d at least 5, there are ellipsoids in R^d, such that the convex hulls of the lattice points in these ellipsoids are not even normal. Part (3) answers a question of Bruns, Michalek, and the author.
