Sums of Squares: A Real Projective Story
نویسندگان
چکیده
The relationship between nonnegative polynomials and sums of squares is one the central questions in real algebraic geometry. A modern approach to look at on a variety. We survey rich history this area focus recent developments highlighting unexpected links complex geometry commutative algebra.
منابع مشابه
Sums of Squares on Real Algebraic Curves
Given an affine algebraic variety V over R with compact set V (R) of real points, and a non-negative polynomial function f ∈ R[V ] with finitely many real zeros, we establish a local-global criterion for f to be a sum of squares in R[V ]. We then specialize to the case where V is a curve. The notion of virtual compactness is introduced, and it is shown that in the localglobal principle, compact...
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ژورنال
عنوان ژورنال: Notices of the American Mathematical Society
سال: 2021
ISSN: ['0002-9920', '1088-9477']
DOI: https://doi.org/10.1090/noti2280