English

Toric fiber products

Commutative Algebra 2007-05-23 v1

Abstract

We introduce and study the toric fiber product of two ideals in polynomial rings that are homogeneous with respect to the same multigrading. Under the assumption that the set of degrees of the variables form a linearly independent set, we can explicitly describe generating sets and Groebner bases for these ideals. This allows us to unify and generalize some results in algebraic statistics.

Keywords

Cite

@article{arxiv.math/0602052,
  title  = {Toric fiber products},
  author = {Seth Sullivant},
  journal= {arXiv preprint arXiv:math/0602052},
  year   = {2007}
}

Comments

19 pages