Eliminating dual spaces. (March 2017)

• Record Type: Journal Article
• Authors: Krone, Robert; Leykin, Anton
• Is Part Of: Journal of symbolic computation. Volume 79:Part 3(2017)
• Page Start: 609
• Page End: 622
• Publication Date: 2017-03
• Subjects: Dual space -- Symbolic-numerical methods -- Embedded components; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2016.07.022
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: Macaulay dual spaces provide a local description of an affine scheme and give rise to computational machinery that is compatible with the methods of numerical algebraic geometry. We introduce eliminating dual spaces, use them for computing dual spaces of quotient ideals, and develop an algorithm for detection of embedded points on an algebraic curve.