ar X iv : m at h / 02 10 07 1 v 1 [ m at h . A C ] 4 O ct 2 00 2 Reduction Number of Links of Irreducible Varieties ⋆
نویسندگان
چکیده
The reductions of an ideal I give a natural pathway to the properties of I , with the advantage of having fewer generators. In this paper we primarily focus on a conjecture about the reduction exponent of links of a broad class of primary ideals. The existence of an algebra structure on the Koszul and Eagon–Northcott resolutions is the main tool for detailing the known cases of the conjecture. In the last section we relate the conjecture to a formula involving the length of the first Koszul homology modules of these ideals. 1991 Math. Subj. Class.: Primary 13H10; Secondary 13C40, 13D40, 13D45, 13H15
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تاریخ انتشار 1997