科研之友
微信
新浪微博
Facebook
分享链接
摘要
The Bezout version of Hilbert's Nullstellensatz states that polynomials without a common zero form the unit ideal. In this paper, we start with a finite number of univariate polynomials and consider the polynomials that show up as a result of the Nullstellensatz. We present a simple analytic method of obtaining a bound for the degrees of these polynomials. Our result recovers W. D. Brownawell's bound and is consistent with that of J. Kollar in the univariate case. The proof involves some well-known results on the analyticity of complex-valued functions.
- 出版日期2016-3
