April 16, 2012 -
2:30 pm to 4:00 pm
Location: Cupples I, Room 199 |
Host: Prof. David Wright
Abstract: A coordinate is a member of a minimal generating set of a polynomial ring. A central question in the study of polynomial rings is: given a polynomial, when is it a coordinate? One version of the Dolgachev-Weisfeiler conjecture asserts that polynomials arising from affine fibrations are coordinates. We will discuss such polynomials, including showing many of them to be coordinates. We will relate this to a well known class of examples called the Venereau polynomials; in particular, we show the second Venereau polynomial to be a coordinate.
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