Cancellation theorems for projective modules over a two-dimensional ring and its polynomial extensions

Abstract

We show that over polynomial extensions of normal affine domains of dimension two over perfect fields (char. [not equal] 2) of cohomological dimension [less-than-or-eq, slant] 1, all finitely generated projective modules are cancellative, thus answering a question of Weibel affirmatively in the case of polynomial extensions.