Computational Methods for the Construction of a Class of Noetherian Operators

DOI10.1080/10586458.2007.10128986zbMath1136.13014arXivmath/0411574OpenAlexW2078483162MaRDI QIDQ5441077

Alberto Damiano, Daniele C. Struppa, Irene Sabadini

Publication date: 7 February 2008

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411574

zbMATH Keywords

Gröbner basesmultiplicity varietyMacaulay basis

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Integral representations of solutions to PDEs (35C15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (8)

Primary decomposition of modules: a computational differential approach ⋮ Noetherian operators in Macaulay2 ⋮ Computing the multiplicity structure of an isolated singular solution: case of breadth one ⋮ Linear PDE with constant coefficients ⋮ Primary ideals and their differential equations ⋮ Noetherian operators and primary decomposition ⋮ Determining singular solutions of polynomial systems via symbolic-numeric reduction to geometric involutive forms ⋮ Effective algorithm for computing Noetherian operators of zero-dimensional ideals

Uses Software

• SINGULAR

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