Non-cancelable Betti numbers and type vectors.

DOI10.1007/BF02935755zbMath1061.13501MaRDI QIDQ1880481

Yong Su Shin

Publication date: 28 September 2004

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

Betti numbersHilbert functionsminimal free resolutionsleveltype vectors\(k\)-configurations

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Uses Software

• CoCoA

Cites Work

• \(k\)-configurations in \(\mathbb{P}^3\) all have extremal resolutions
• Smooth points of \(\text{Gor}(T)\)
• Some features of \(CoCoA 3\)
• Some special configurations of points in \(\mathbb P^n\)
• The Hilbert function of a level algebra
• An alternative to the Hilbert function for the ideal of a finite set of points in \(\mathbb P^n\)

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