Green's Hyperplane Restriction Theorem: an extension to modules

Ornella Greco

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arXiv · 1403.4862

Green's Hyperplane Restriction Theorem: an extension to modules

Ornella Greco

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Abstract

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.

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Ornella Greco. 2014-03-19. Green's Hyperplane Restriction Theorem: an extension to modules. https://arxiv.org/abs/1403.4862

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