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math.AG2008
Matrix representations for toric parametrizations
Nicolás Botbol, Alicia Dickenstein, Marc Dohm
In this paper we show that a surface in P^3 parametrized over a 2-dimensional toric variety T can be represented by a matrix of linear syzygies if the base points are finite in num…
math.AC2008
Combinatorics of binomial primary decomposition
Alicia Dickenstein, Laura Felicia Matusevich, Ezra Miller
An explicit lattice point realization is provided for the primary components of an arbitrary binomial ideal in characteristic zero. This decomposition is derived from a characteris…