Abstract

Let A be a regular ring of dimension d essentially of finite type over an infinite field k of characteristic ≠2. Let P be a projective A-module of rank n with 2n≥d+3. Let I be an ideal of A[T] of height n and ϕ:P[T]↠I/I2 be a surjection. If ϕ⊗A(T) has a surjective lift θ:P[T]⊗A(T)↠IA(T), then ϕ has a surjective lift Φ:P[T]↠I. The case P=An is due to Das-Tikader-Zinna [7].

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