Absolute constants of Koras-Russell-liked threefolds

Abstract

This result generalizes a previous result established in [2] where the Absolute Constants of the Koras-Russell threefold was shown to be invariant under translates in the base field to the Absolute Constants of the Koras-Russell threefold being invariant under translates of any of its absolute invariants. It must be pointed out that there is no prior reason for the ring of Absolute Constants to be invariant under so general translates, but remains a possibility that it is part of a more general property of the Absolute Constants ring.