多重齐次非负多项式与平方和
代数几何
2018-06-11 v3 度量几何
摘要
我们将关于非负多项式中是平方和的比例的定量界限细化并推广到多重齐次情形。
引用
@article{arxiv.1601.04623,
title = {Multihomogenous Nonnegative Polynomials and Sums of Squares},
author = {Alperen Ergur},
journal= {arXiv preprint arXiv:1601.04623},
year = {2018}
}
备注
Revised the article to improve overall presentation. Included a section on background material upon referee's suggestion. The article now explains the connection between nonnegative polynomials and isotropic measures in a more detailed way. An application of the results in this article to quantum information theory was found independently from us, which we include the reference