Geodesic
Hilbert and Hilbert--Samuel polynomials and partial differential equations
Matematičeskie zametki, Tome 77 (2005) no. 1, pp. 141-151.

Voir la notice de l'article provenant de la source Math-Net.Ru

Systems of linear partial differential equations with constant coefficients are considered. The spaces of formal and analytic solutions of such systems are described by algebraic methods. The Hilbert and Hilbert–Samuel polynomials for systems of partial differential equations are defined. 
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A. G. Khovanskii; S. P. Chulkov. Hilbert and Hilbert--Samuel polynomials and partial differential equations. Matematičeskie zametki, Tome 77 (2005) no. 1, pp. 141-151. http://geodesic.mathdoc.fr/item/MZM_2005_77_1_a12/

[1] Mamford D., Algebraicheskaya geometriya. T. I. Kompleksnye proektivnye mnogoobraziya, Mir, M., 1978 | MR

[2] Atya M., Makdonald I., Vvedenie v kommutativnuyu algebru, Mir, M., 1972