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Non-Cohen–Macaulay Projective Monomial Curves with Positive h-Vector

Published online by Cambridge University Press:  20 November 2018

Victoria E. de Quehen  and
Leslie G. Roberts
Victoria E. de Quehen
Affiliation:
Department of Mathematics and Statistics, Queen's University, Kingston, ON, K7L 3N6 e-mail: 9qved@qlink.queensu.ca e-mail: robertsl@mast.queensu.ca
Leslie G. Roberts
Affiliation:
Department of Mathematics and Statistics, Queen's University, Kingston, ON, K7L 3N6 e-mail: 9qved@qlink.queensu.ca e-mail: robertsl@mast.queensu.ca
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Abstract

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We find an infinite family of projective monomial curves all of which have $h$-vector with no negative values and are not Cohen–Macaulay.

Keywords

14H45
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 48 , Issue 2 , 01 June 2005 , pp. 203 - 210
Copyright
Copyright © Canadian Mathematical Society 2005

References

[1] Patil, Dilip and Roberts, Leslie G., Hilbert functions of monoial curves. J. Pure Appl. Algebra 183(2003), 275–292.Google Scholar
[2] Roberts, Leslie G., Certain projective curves with unusual Hilbert function. J. Pure Appl. Algebra 104(1995), 303–311.Google Scholar
[3] Roberts, Leslie G. and Singh, Balwant, Seminormality and cohomology of projective varieties. J. Algebra 103(1986), 500–519.Google Scholar