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Cohen-Macaulayness of Special Fiber Rings

Cohen-Macaulayness of Special Fiber Rings

Abstract Let (R, 𝔪) be a Noetherian local ring and let Ibe an R-ideal. Inspired by the work of Hübl and Huneke, we look for conditions that guarantee the Cohen-Macaulayness of the special fiber ring ℱ = ℛ/𝔪ℛ of I, where ℛ denotes the Rees algebra of I. Our key …