On surfaces of minimal degree in P5. (March 2022)

• Record Type: Journal Article
• Authors: Park, Euisung
• Is Part Of: Journal of symbolic computation. Volume 109(2022)
• Page Start: 116
• Page End: 123
• Publication Date: 2022-03
• Subjects: primary 14N25 14Q10; Surfaces of minimal degree -- Rank of quadratic equation; 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.2021.08.001
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: There are exactly four surfaces of minimal degree in P 5, up to projective equivalence. And they have the same graded Betti numbers. So it is a natural question to ask how to recognize them by their defining equations. In this paper we provide an answer to this question in terms of the rank loci of quadratic equations of those four surfaces. We show that the sets of rank 3 and rank 4 quadratic equations distinguish them.