Green's Hyperplane Restriction Theorem: an extension to modules

• Ornella Greco ^[1]
  1. [1] Royal Institute of Technology

     Royal Institute of Technology

     Suecia

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 8 (August 2015), 2015, págs. 3506-3517
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.12.009
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• Resumen

  • In this paper, we prove a generalization of Green's Hyperplane Restriction Theorem to the case of modules over the polynomial ring, providing in particular an upper bound for the Hilbert function of the general linear restriction of a module M in a degree d by the corresponding Hilbert function of a lexicographic module.