Some algebraic consequences of Green's hyperplane restriction theorems

DOI10.1016/j.jpaa.2009.10.010zbMath1197.13018arXiv0907.3912OpenAlexW2040878256MaRDI QIDQ2267435

Fabrizio Zanello, Mats Boij

Publication date: 1 March 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.3912

zbMATH Keywords

Hilbert functionArtinian algebraGorensteinlevel algebraweak Lefschetz property.

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Divisors, linear systems, invertible sheaves (14C20) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (10)

Star-Configurations in ℙ²Having Generic Hilbert Function and the Weak Lefschetz Property ⋮ On Gorenstein sequences of socle degrees 4 and 5 ⋮ Green's theorem and Gorenstein sequences ⋮ Artinian level algebras of codimension 3 ⋮ Unnamed Item ⋮ The Minimal Free Resolution of a Fat Star-Configuration in ℙⁿ ⋮ Nonunimodal Gorenstein sequences of higher socle degrees ⋮ On the weak Lefschetz property for artinian Gorenstein algebras of codimension three ⋮ Stanley’s nonunimodal Gorenstein $h$-vector is optimal ⋮ Green's hyperplane restriction theorem: an extension to modules

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