Über den arithmetischen Rang quadratfreier Potenzproduktideale

✍ Scribed by Hans-Gert Gräbe

• Publisher: John Wiley and Sons
• Year: 1985
• Tongue: English
• Weight: 503 KB
• Volume: 120
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19851200118

✦ Synopsis

I n this paper we give an algorithm to compute an upper bound for the arithmetical rank of squarefree monomial ideals, i.e. the minimal number of hypersurfaces which cut out settheoretically the variety of such an ideal. An apriori bound N -= b + 2 is obtained, where N means the number of variables, a the lowest degree in the ideal end 6 the lowest degree of syzygies in the first syzygy module (Thm. 2 ) . These results sharpen more general results of [a] for the considered class of ideals by methods different from [l], [7].