Tangent cone algorithm for homogenized differential operators

• Autores: Nobuki Takayama, Toshinori Oaku, Michel Granger
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 39, Nº 3, 2005, págs. 417-431
• Idioma: inglés
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• Resumen

  • We extend Mora¿s tangent cone or the écart division algorithm to a homogenized ring of differential operators. This allows us to compute standard bases of modules over the ring of analytic differential operators with respect to sufficiently general orderings which are needed in the D-module theory.