Polynomials defining distinguished varieties

Knese, Greg

doi:10.1090/S0002-9947-2010-05275-4

Polynomials defining distinguished varieties
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by Greg Knese PDF

Trans. Amer. Math. Soc. 362 (2010), 5635-5655 Request permission

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 formula 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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