Differential algebraic geometry

Differential algebraic geometry is an area of differential algebra that adapts concepts and methods from algebraic geometry and applies them to systems of differential equations/algebraic differential equations.

Another way of generalizing ideas from algebraic geometry is diffiety theory.

References

• Differential algebraic geometry (three parts in one pdf), part of the Kolchin Seminar in Differential Algebra
• , Henri Gillet (2000), Differential algebra - A Scheme Theory Approach, Differential algebra and related topics: proceedings of the International Workshop, Newark Campus of Rutgers, The State University of New Jersey, 2-3 November 2000, Editors Li Guo, William F. Keigher, World Scientific, ISBN 978-981-02-4703-4