As a consequence of this result we provide examples of affine rational surfaces that do not admit birational surjective parametrizations.

Abstract: We introduce the cohomological blowup of a graded Artinian Gorenstein algebra along a surjective map, which we term BUG (blowup Gorenstein) for short. This is intended to translate to an ...

The paper offers a case study of the teaching of a traditionally-taught abstract algebra course, including showing the range of practice as larger than previously described in research literature.