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Coordinates Arising from Affine Fibrations

Posted on:2013-01-04Degree:Ph.DType:Dissertation
University:Washington University in St. LouisCandidate:Lewis, Andrew MFull Text:PDF
GTID:1450390008976796Subject:Applied Mathematics
Abstract/Summary:
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.
Keywords/Search Tags:Coordinates arising from affine fibrations
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