Sums of Squares: A Real Projective Story
Algebraic Geometry
2021-04-16 v1 Optimization and Control
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.
Keywords
Cite
@article{arxiv.2101.05773,
title = {Sums of Squares: A Real Projective Story},
author = {Grigoriy Blekherman and Rainer Sinn and Gregory G. Smith and Mauricio Velasco},
journal= {arXiv preprint arXiv:2101.05773},
year = {2021}
}
Comments
to appear in the Notices of the AMS