Document Type

Article

Publication Date

2007

Publication Title

Rocky Mountain Journal of Mathematics

Abstract

For a graph of an n-cycle Δ with Alexander dual Δ∗, we study the free resolution of a subideal G (n) of the Stanley-Reisner ideal IΔ∗. We prove that if G(n) is generated by 3 generic elements of IΔ∗, then the second syzygy module of G(n) is isomorphic to the second syzygy module of (x1,x2,... ,x n). A result of Bruns shows that there is always a 3-generated ideal with this property. We show that it can be chosen to have a particularly nice form.

Comments

The author is partially supported by an NSF-VIGRE postdoctoral fellowship.

DOI

10.1216/rmjm/1181068762

Version

Publisher's PDF

Volume

37

Issue

2

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Mathematics Commons

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