A tropical construction of a family of real reducible curves. (May 2017)

• Record Type: Journal Article
• Authors: Renaudineau, Arthur
• Is Part Of: Journal of symbolic computation. Volume 80:Part 2(2017)
• Page Start: 251
• Page End: 272
• Publication Date: 2017-05
• Subjects: Tropical geometry -- Tropical modifications -- Real 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.2016.03.003
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We give a constructive proof using tropical modifications of the existence of a family of real algebraic plane curves with asymptotically maximal numbers of even ovals.