✦ LIBER ✦

Koszul Cycles and Eliahou–Kervaire Type Resolutions

✍ Scribed by Annetta Aramova; Jürgen Herzog

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 268 KB
Volume: 181
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0124

No coin nor oath required. For personal study only.

✦ Synopsis

n 1

we give an explicit resolution of k-algebras for which x , . . . , x is strongly n 1

proper. This resolution has the same structure as that of the Eliahou᎐Kervaire resolution but also applies to certain algebras defined by binomial relations. As a demonstration of the theorem we compute the Ž . resolution of a numerical semigroup ring see 4.4 which has minimal multiplicity.