Notes on the Algebra and Geometry of Polynomial Representations
نویسنده
چکیده
The paper deals with a semi-algebraic set A in R constructed by the inequalities pi(x) > 0, pi(x) ≥ 0, and pi(x) = 0 for a given list of polynomials p1, . . . , pm, and presents several statements that fit into the following template. Assume that in a neighborhood of a boundary point the semi-algebraic set A can be described by an irreducible polynomial f . Then f is a factor of a certain multiplicity of some of the polynomials p1, . . . , pm. Special attention is paid to the case when A is a polytope. MSC 2000: 14P10, 52B11
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