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Compactness criteria for real algebraic sets and Newton polyhedra

Authors: 

Phu Phat Pham and Tien Son Pham*

Source title: 
Forum Mathematicum, 30(6): 10 papers, 2018 (ISI)
Academic year of acceptance: 
2018-2019
Abstract: 

Let 1.png be a polynomial and 2.png its zero set. In this paper, in terms of the so-called Newton polyhedron of f, we present a necessary criterion and a sufficient condition for the compactness of 2.png. From this we derive necessary and sufficient criteria for the stable compactness of 2.png.