Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415897 | Journal of Pure and Applied Algebra | 2013 | 8 Pages |
Abstract
Motivated by scheme theory, we introduce strong nonnegativity on real varieties, which has the property that a sum of squares is strongly nonnegative. We show that this algebraic property is equivalent to nonnegativity for nonsingular real varieties. Moreover, for singular varieties, we re-prove and generalize obstructions of Gouveia and Netzer to the convergence of the theta body hierarchy of convex bodies approximating the convex hull of a real variety.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mohamed Omar, Brian Osserman,