Reduction numbers of links of irreducible varieties

Details Reduction numbers of links of irreducible varieties Reduction numbers of links of irreducible varieties

2002-10-04

arxiv.org/abs/math/0210071v1

J. Pure Appl. Algebra 121 (1997), 29-43

Mathematics

Commutative Algebra

17 pages

Scientific paper

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.

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