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Certain Minimal Varieties Are Set-Theoretic Complete Intersections
Authors:Margherita Barile
Affiliation:1. Department of Mathematics , University of Bari , Bari, Italy barile@dm.uniba.it
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.
Keywords:Fiber cone  Minimal variety  Rational normal scroll  Set-theoretic complete intersection
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