论文标题
经常的反身2支撑射影空间简单的常规单型三角剖分
A regular unimodular triangulation of reflexive 2-supported weighted projective space simplices
论文作者
论文摘要
For each integer partition $\mathbf{q}$ with $d$ parts, we denote by $Δ_{(1,\mathbf{q})}$ the lattice simplex obtained as the convex hull in $\mathbb{R}^d$ of the standard basis vectors along with the vector $-\mathbf{q}$.对于$ \ mathbf {q} $，带有两个不同的零件，以便$δ_{（1，\ mathbf {q}）} $是反射性的，具有整数分解属性，我们建立了包含$δ___{（1，\ mathbf {q}} {q} {q}）的晶格点的特征。然后，我们构建一个由这些简单定义的曲折理想的无平方初始理想的gröbner基础。这确定了具有整数分解属性的反射2支$δ_ {（1，\ mathbf {q}）} $的常规单型三角剖分。
For each integer partition $\mathbf{q}$ with $d$ parts, we denote by $Δ_{(1,\mathbf{q})}$ the lattice simplex obtained as the convex hull in $\mathbb{R}^d$ of the standard basis vectors along with the vector $-\mathbf{q}$. For $\mathbf{q}$ with two distinct parts such that $Δ_{(1,\mathbf{q})}$ is reflexive and has the integer decomposition property, we establish a characterization of the lattice points contained in $Δ_{(1,\mathbf{q})}$. We then construct a Gröbner basis with a squarefree initial ideal of the toric ideal defined by these simplices. This establishes the existence of a regular unimodular triangulation for reflexive 2-supported $Δ_{(1,\mathbf{q})}$ having the integer decomposition property.
