Compactness criteria for real algebraic sets and Newton polyhedra
Compactness criteria for real algebraic sets and Newton polyhedra
Source title:
Forum Mathematicum, 30(6): 10 papers,
2018
(ISI)
Academic year of acceptance:
2018-2019
Abstract:
Let be a polynomial and
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
. From this we derive necessary and sufficient criteria for the stable compactness of
.