The vertex ideal of a lattice

Details The vertex ideal of a lattice The vertex ideal of a lattice

2000-12-20

arxiv.org/abs/math/0012197v1

Mathematics

Combinatorics

19 pages, 2 figures

Scientific paper

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.

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