论文标题
晶格大小更高尺寸
Lattice Size in Higher Dimension
论文作者
论文摘要
晶格多层的晶格大小是几何不变的，它是在简化代数曲线定义方程式的背景下正式引入的，但在几何组合物中隐含地出现。先前关于晶格尺寸的工作致力于研究尺寸2和3的晶格大小。在本文中，我们为任意维度的晶格简单家族的晶格大小建立了明确的公式。
The lattice size of a lattice polytope is a geometric invariant which was formally introduced in the context of simplification of the defining equation of an algebraic curve, but appeared implicitly earlier in geometric combinatorics. Previous work on the lattice size was devoted to studying the lattice size in dimension 2 and 3. In this paper we establish explicit formulas for the lattice size of a family of lattice simplices in arbitrary dimension.
