2008/03/27 by Alicia Dickenstein, Dickenstein, Alicia, Laura Felicia Matusevich +3
Mathematics · #13F99 #14M25 #20M25 #52B20 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.CO #msc:13F99 #msc:14M25 #msc:20M25 #msc:52B20
paper · pdf · doi:10.48550/arxiv.0803.3846
This paper was split off from math.AG/0610353 whose version 3 is now shorter
arxiv created 2008/03/27 · arxiv updated 2009/12/01
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.