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Ideals of Herzog-Northcott type

Author
Planas-Vilanova, F. A.; O'Carroll, L.
Type of activity
Journal article
Journal
Proceedings of the Edinburgh Mathematical Society
Date of publication
2011-01-19
Volume
54
Number
01
First page
161
Last page
186
DOI
https://doi.org/10.1017/S0013091509001321 Open in new window
Project funding
Efectividad, uniformidad y comportamiento asintótico de las estructuras (multi)graduadas.
Repository
http://hdl.handle.net/2117/11327 Open in new window
URL
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=7978096&fulltextType=RA&fileId=S0013091509001321 Open in new window
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-theoretically compl...
Citation
Planas, F.; O'Carroll, L. Ideals of Herzog-Northcott type. "Proceedings of the Edinburgh Mathematical Society", 19 Gener 2011, vol. 54, núm. 01, p. 161-186.
Keywords
Herzog ideal, Northcott ideal, almost complete intersection, associative law of multiplicities, liaison
Group of research
GEOMVAP - Geometry of Manifolds and Applications

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