The vertex ideal of a lattice

  • Authors:

  • Serkan Hoten;Diane Maclagan

  • Affiliations:

  • Department of Mathematics, San Francisco State University, 1600 Halloway ave., San Francisco, CA 94132, USA;Department of Mathematics, Stanford University, Stanford, CA 94305, USA

  • Venue:
  • Advances in Applied Mathematics
  • Year:
  • 2002

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Abstract

We introduce a monomial ideal whose standard monomials encode the vertices of all fibers of a lattice. We study the minimal generators, the radical, the associated primes and the primary decomposition of this ideal, as well as its relation to initial ideals of lattice ideals.