Global Łojasiewicz inequalities on comparing the rate of growth of polynomial functions

2019/12/02 by Dinh, Si-Tiep, Guo, Feng, Pham, Tien-Son · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1912.00633

Abstract

We present a global version of the Łojasiewicz inequality on comparing the rate of growth of two polynomial functions in the case the mapping defined by these functions is (Newton) non-degenerate at infinity. In addition, we show that the condition of non-degeneracy at infinity is generic in the sense that it holds in an open and dense semi-algebraic set of the entire space of input data.

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