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arXiv · 2101.05773

Sums of Squares: A Real Projective Story

Grigoriy Blekherman·Rainer Sinn·Gregory G. Smith·Mauricio Velasco
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Abstract

The relationship between nonnegative polynomials and sums of squares is one of the central questions in real algebraic geometry. A modern approach is to look at nonnegative polynomials and sums of squares on a real variety. We survey the rich history of this area and focus on recent developments highlighting unexpected links to complex algebraic geometry and commutative algebra.

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Grigoriy Blekherman, Rainer Sinn, Gregory G. Smith, Mauricio Velasco. 2021-01-14. Sums of Squares: A Real Projective Story. https://doi.org/10.1090/noti2280

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