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On symbolic powers of prime ideals
Let (R, m) be a regular local ring with prime ideals p and q such that √ p + q = m and dim(R/p)+dim(R/q) = dim(R).It has been conjectured by Kurano and Roberts that p (m) ∩ q ⊆ m m+1 for all positive integers m.We discuss this conjecture and …