Abstract
Let ( R , m ) be a formally equidimensional local ring with depth R ⩾ 2 and I = ( a 1 , … , a n ) an m -primary ideal in R. The main result of this paper shows that if I is integrally closed, then so is its image modulo a generic element, that is, if T = R [ X 1 , … , X n ] / ( a 1 X 1 + ⋯ + a n X n ) , then I T ¯ = I ¯ T .
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