# Ideals of Herzog–Northcott type

@article{OCarroll2010IdealsOH,
title={Ideals of Herzog–Northcott type},
author={Liam O'Carroll and Francesc Planas-Vilanova},
journal={Proceedings of the Edinburgh Mathematical Society},
year={2010},
volume={54},
pages={161 - 186}
}
• Published 29 January 2010
• Mathematics
• Proceedings of the Edinburgh Mathematical Society
Abstract This paper takes a new look at ideals generated by 2×2 minors of 2×3 matrices whose entries are powers of three elements not necessarily forming a regular sequence. A special case of this is the ideals determining monomial curves in three-dimensional space, which were studied by Herzog. In the broader context studied here, these ideals are identified as Northcott ideals in the sense of Vasconcelos, and so their liaison properties are displayed. It is shown that they are set…
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