Date of Award
Doctor of Philosophy (PhD)
Chair and Committee
We study the question of whether residual coordinates arising from affine fibrations are coordinates. We show that the second Venereau polynomial is a coordinate, and introduce a related class of residual coordinates, called Venereau-type polynomials, and show many of them to be coordinates. We give some partial results towards the Dolgachev-Weisfeiler conjecture in the case of tame strongly residual coordinates.
Lewis, Andrew, "Coordinates Arising from Affine Fibrations" (2012). All Theses and Dissertations (ETDs). 710.