The Hurwitz form of a projective variety. (March 2017)

• Record Type: Journal Article
• Authors: Sturmfels, Bernd
• Is Part Of: Journal of symbolic computation. Volume 79(2017)Part 1
• Page Start: 186
• Page End: 196
• Publication Date: 2017-03
• Subjects: Polynomial systems -- Discriminant -- Chow form -- Newton polytope -- Numerical algebraic geometry; 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.2016.08.012
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: The Hurwitz form of a variety is the discriminant that characterizes linear spaces of complementary dimension which intersect the variety in fewer than degree many points. We study computational aspects of the Hurwitz form, relate this to the dual variety and Chow form, and show why reduced degenerations are special on the Hurwitz polytope.