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math.CO2001
Supernormal Vector Configurations
Serkan Hosten, Diane Maclagan, Bernd Sturmfels
A configuration of lattice vectors is supernormal if it contains a Hilbert basis for every cone spanned by a subset. We study such configurations from various perspectives, includi…
math.CO2000
The vertex ideal of a lattice
Serkan Hosten, Diane Maclagan
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 p…