Abstract
0. Introduction. Let R be a local ring, and I an ideal of R. Associated to I are several graded algebras: the symmetric algebra of the module I, Sym(I), the Rees algebra of I, defined to be the algebra R (I) = (Gn=O InF, and the associated graded algebra of I, gr1(R) = RII G II/2 (? ... *( In/In+1 (i * i i. Our purpose in this paper is to study the behavior of these graded algebras when we change I through linkage. Recall the definition of linkage found in the paper of Peskine and Szpiro [22].
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