Upper bounds of Hilbert coefficients and Hilbert functions

• Autores: Joan Elías García
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 145, Nº 1, 2008, págs. 87-94
• Idioma: inglés
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• Resumen

  • Let (R, m) be a d-dimensional Cohen�Macaulay local ring. In this paper we prove, in a very elementary way, an upper bound of the first normalized Hilbert coefficient of a m-primary ideal I R that improves all known upper bounds unless for a finite number of cases, see Remark 2.3. We also provide new upper bounds of the Hilbert functions of I extending the known bounds for the maximal ideal.