The fiber cone of a monomial ideal in two variables. (September 2019)

• Record Type: Journal Article
• Authors: Herzog, Jürgen; Qureshi, Ayesha Asloob; Saem, Maryam Mohammadi
• Is Part Of: Journal of symbolic computation. Volume 94(2019)
• Page Start: 52
• Page End: 69
• Publication Date: 2019-09
• Subjects: 05E40 -- 13A02 -- 13F20; Monomial ideals -- Fiber cones -- Projective monomial curves; 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.2018.06.022
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: By using Gröbner bases we determine in an explicit way the depth of the fiber cone and its relation ideal for classes of monomial ideals in two variables. These classes include concave and convex ideals as well as symmetric ideals.