Duality of multiple root loci

JOURNAL OF ALGEBRA

卷:446

Article

Lee, Hwangrae¹  Sturmfels, Bernd² 

[1] Pohang Univ Sci & Technol, Pohang, South Korea

[2] Univ Calif Berkeley, Berkeley, CA 94720 USA

关键词: Multiple root;    Dual variety;    Conormal variety;    Real rank;    ED degree;   

DOI  :  10.1016/j.jalgebra.2015.08.029

来源: Elsevier

【 摘 要 】

The multiple root loci among univariate polynomials of degree n are indexed by partitions of n. We study these loci and their conormal varieties. The projectively dual varieties are joins of such loci where the partitions are hooks. Our emphasis lies on equations and parametrizations that are useful for Euclidean distance optimization. We compute the ED degrees for hooks. Among the dual hypersurfaces are those that demarcate the set of binary forms whose real rank equals the generic complex rank. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free