Commutative Partial Differential Operators
环与代数
2007-05-23 v1 代数几何
泛函分析
摘要
In one variable, there exists a satisfactory classification of commutative rings of differential operators. In several variables, even the simplest generalizations seem to be unknown and in this report we give examples and pose questions that may suggest a theory to be developed. In particular, we address the existence of a ``spectral variety'' generalizing the spectral curve of the one dimensional theory and the role of the differential resultant.
引用
@article{arxiv.math/9907097,
title = {Commutative Partial Differential Operators},
author = {Alex Kasman and Emma Previato},
journal= {arXiv preprint arXiv:math/9907097},
year = {2007}
}