nLab
diffiety

Context

Geometry

Differential geometry

differential geometry

synthetic differential geometry

Axiomatics

Models

Concepts

Theorems

Applications

Contents

Idea

A zero locus of a set of polynomials is an affine algebraic variety; mimicking this situation Alexandre Vinogradov has introduced a geometric object related to systems of nonlinear differential equations, the diffieties. Closely related notions in various flavours of geometry are the crystals of schemes (Grothendieck), D-varieties (Malgrange), D-schemes (Beilinson, Drinfeld) and differential algebras (Ritt, Kolchin).

References

Revised on May 15, 2015 17:35:07 by Urs Schreiber (195.113.30.252)