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

摘要

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 equal to 1, all finitely generated projective modules are cancellative, thus answering a question of Weibel affirmatively in the case of polynomial extensions. [References: 24]