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arXiv · 0909.1818

Polynomials defining distinguished varieties

Greg Knese
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Abstract

Using a sums of squares formula for two variable polynomials with no zeros on the bidisk, we are able to give a new proof of a representation for distinguished varieties. For distinguished varieties with no singularities on the two-torus, we are able to provide extra details about the representation formula and use this to prove a bounded extension theorem.

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Greg Knese. 2009-09-09. Polynomials defining distinguished varieties. https://doi.org/10.1090/s0002-9947-2010-05275-4

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