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A Note on Algebraic Linear Partial Differential Equations

2018/12/06 by Günther, Stefan
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1812.03045

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.

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