Linear Syzygies from k-Configurations in ℙn and the Mapping Cone Constructions

DOI10.1142/S1005386707000600zbMath1145.13011MaRDI QIDQ5386785

Yong Su Shin

Publication date: 14 May 2008

Published in: Algebra Colloquium (Search for Journal in Brave)

zbMATH Keywords

Hilbert functionBetti numberlevel algebralinear syzygy

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Complete intersections (14M10)

Cites Work

• Hilbert functions of graded algebras
• \(k\)-configurations in \(\mathbb{P}^3\) all have extremal resolutions
• A note on Artinian Gorenstein algebras of codimension three
• Smooth points of \(\text{Gor}(T)\)
• Some special configurations of points in \(\mathbb P^n\)
• Extremal point sets and Gorenstein ideals
• Some examples of unimodal Gorenstein sequences
• Upper bounds for the betti numbers of a given hilbert function
• Maximum betti numbers of homogeneous ideals with a given hilbert function

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