Combinatorics of binomial primary decomposition Academic Article uri icon


  • 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 characteristic-free combinatorial description of certain primary components of binomial ideals in affine semigroup rings, namely those that are associated to faces of the semigroup. These results are intimately connected to hypergeometric differential equations in several variables. Springer-Verlag 2009.

published proceedings

  • Mathematische Zeitschrift

author list (cited authors)

  • Dickenstein, A., Matusevich, L. F., & Miller, E.

citation count

  • 21

complete list of authors

  • Dickenstein, Alicia||Matusevich, Laura Felicia||Miller, Ezra

publication date

  • April 2010