The Hilbert function of a maximal Cohen-Macaulay module. Part II

• Autores: Tony J. Puthenpurakal
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 218, Nº 12, 2014, págs. 2218-2225
• Idioma: inglés
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• Resumen

  • Let (A,m)(A,m) be a strict complete intersection of positive dimension and let M be a maximal Cohen�Macaulay A-module with bounded Betti numbers. We prove that the Hilbert function of M is non-decreasing. We also prove an analogous statement for complete intersections of codimension two.