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Certain Minimal Varieties Are Set-Theoretic Complete Intersections

2005/09/21 by Margherita Barile
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation #math.AC #math.AG

paper · pdf · doi:10.1080/00927870701302099

published as Commun. Algebra, 35 (2007), 2082-2095

arxiv created 2005/09/21 · openalex publication_date 2007/06/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We present a class of homogeneous ideals which are generated by monomials and binomials of degree 2 and are set-theoretic complete intersections. This class includes certain reducible varieties of minimal degree and, in particular, the presentation ideals of the fiber cone algebras of monomial varieties of codimension 2.

Citations