Polynomials defining distinguished varieties

Polynomials defining distinguished varieties
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定义不同品种的多项式

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发表时间:
2009
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通讯作者:
Greg Knese
Greg Knese
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作者:
Greg Knese

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利用双圆盘上无零点的二元多项式的平方和公式,我们能够对特异簇的一种表示给出一个新的证明。对于在二维环面上无奇点的特异簇,我们能够提供关于表示公式的更多细节,并利用它来证明一个有界延拓定理。
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.