论文标题
Noetherian操作员和主要分解
Noetherian operators and primary decomposition
论文作者
论文摘要
Noetherian运算符是编码多项式理想的主要组件的差分运算符。我们开发了一个框架和算法，用于计算具有本地双空间的Noetherian运算符，无论是象征性和数值而言。对于主要理想，此类运营商为一组发电机提供的替代表示。此描述与数值代数几何形状非常吻合，朝着数值初级分解的目标迈出了一步。
Noetherian operators are differential operators that encode primary components of a polynomial ideal. We develop a framework, as well as algorithms, for computing Noetherian operators with local dual spaces, both symbolically and numerically. For a primary ideal, such operators provide an alternative representation to one given by a set of generators. This description fits well with numerical algebraic geometry, taking a step toward the goal of numerical primary decomposition.
