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Reduction numbers, Rees algebras and Pfaffian ideals

✍ Scribed by Ian M. Aberbach; Sam Huckaba; Craig Huneke

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
975 KB
Volume
102
Category
Article
ISSN
0022-4049

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πŸ“œ SIMILAR VOLUMES

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In a previous paper we exhibited the somewhat surprising property that most direct links of prime ideals in Gorenstein rings are equimultiple ideals with reduction number 1. This led to the construction of large families of Cohen-Macaulay Rees algebras. The first goal of this paper is to extend this

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Let A, α’Š, k be a d-dimensional d G 1 quasi-unmixed analytically unramified local domain with infinite residue field. If I is an α’Š-primary ideal, Shah defined the first coefficient ideal of I to be the largest ideal I containing I such that Γ„14 ˜n Ε½ . Ε½ . Ε½ . e I s e I for i s 0, 1. Assume that A is