A Note on Algebraic Linear Partial Differential Equations
Algebraic Geometry
2018-12-10 v1
Abstract
In this note, we show that a very general system of algebraic linear partial differential equations has zero kernel, applying basic techniques of the theory of jet-modules and elementary base change theory. In particular, in contrast to the differentiable case, a very general system of algebraic ordinary differential equations has zero kernel.
Cite
@article{arxiv.1812.03045,
title = {A Note on Algebraic Linear Partial Differential Equations},
author = {Stefan Günther},
journal= {arXiv preprint arXiv:1812.03045},
year = {2018}
}
Comments
21 pages