Noetherian Operators in Macaulay2
A primary ideal in a polynomial ring can be described by the variety it defines and a finite set of Noetherian operators, which are differential operators with polynomial coefficients. We implement both symbolic and numerical algorithms to produce such a description in various scenarios as well as routines for studying affine schemes through the prism of Noetherian operators and Macaulay dual spaces.
PDF AbstractCategories
Commutative Algebra
Algebraic Geometry
14-04, 14Q15, 13N05, 65L80, 65D05