Title

Coordinates Arising from Affine Fibrations

Author

Andrew Lewis, Washington University in St. LouisFollow

Author's School

Graduate School of Arts & Sciences

Author's Department/Program

Mathematics

Language

English (en)

Date of Award

5-24-2012

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Chair and Committee

David Wright

Abstract

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.

Comments

Permanent URL: http://dx.doi.org/10.7936/K7M906R8

Recommended Citation

Lewis, Andrew, "Coordinates Arising from Affine Fibrations" (2012). All Theses and Dissertations (ETDs). 710.
https://openscholarship.wustl.edu/etd/710