Excision in algebraic obstruction theory
The authors define the relative algebraic obstruction groups (also known as Euler class groups). They establish some excision exact sequences. In particular, for a regular domain \(A\), essentially of finite type over an infinite field \(k\), and a rank one projective \(A\)-module \(L_0\), they prove that \(E^n (A[T]), L_0\otimes A[T]\approx E^n (A, L_0)\) whenever \(2n\geq \dim A + 4\).
scientific article; zbMATH DE number 6132784