An analytic approach to the degree bound in the Nullstellensatz

Autor:	Anupan Netyanun, Hyun-Kyoung Kwon, Tavan T. Trent
Rok vydání:	2015
Předmět:	Pure mathematics Mathematics::Commutative Algebra Applied Mathematics General Mathematics Computer Science::Symbolic Computation Mathematics Degree (temperature)
Zdroj:	Proceedings of the American Mathematical Society. 144:1145-1152
ISSN:	1088-6826 0002-9939
DOI:	10.1090/proc/12781
Popis:	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. Kollár in the univariate case. The proof involves some well-known results on the analyticity of complex-valued functions.
Databáze:	OpenAIRE
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