论文标题
希尔伯特系列简单的薄聚体
Hilbert Series of simple thin polyominoes
论文作者
论文摘要
令P为一个简单的薄聚元，大致说的是一个没有孔的多元，并且不包含平方四氨基作为子聚元。在本文中，我们通过证明$ h（t）$是P。
Let P be a simple thin polyomino, roughly speaking a polyomino that has no holes and does not contain a square tetromino as a subpolyomino. In this paper, we determine the reduced Hilbert series $h(t)/(1-t)^d$ of K[P] by proving that $h(t)$ is the rook polynomial of P. As an application, we characterize the Gorenstein simple thin polyominoes.
