论文标题
knutson的理想和汉克尔矩阵的决定性理想
Knutson ideals and determinantal ideals of Hankel matrices
论文作者
论文摘要
受诺特森（Knutson）的作品的动机，在最近的论文和瓦尔巴罗（Varbaro）和瓦尔巴罗（Varbaro）中，定义了新的理想，即“努特森理想”，从带有无方面的主词的多项式$ f $开始。我们将证明，当一个人在特征零的多项式环中引入了knutson理想的定义，也保留了该类别在多项式环上的主要属性。然后，我们将证明汉克尔矩阵的决定性理想是纳特森的理想，可以选择多项式$ f $。
Motivated by a work of Knutson, in a recent paper Conca and Varbaro have defined a new class of ideals, namely "Knutson ideals", starting from a polynomial $f$ with squarefree leading term. We will show that the main properties that this class has in polynomial rings over fields of characteristic $p$ are preserved when one introduces the definition of Knutson ideal also in polynomial rings over fields of characteristic zero. Then we will show that determinantal ideals of Hankel matrices are Knutson ideals for a suitable choice of the polynomial $f$.
