Decompositions of Cellular Binomial Ideals
Commutative Algebra
2017-05-17 v2 Algebraic Geometry
Combinatorics
Abstract
Without any restrictions on the base field, we compute the hull and prove a conjecture of Eisenbud and Sturmfels giving an unmixed decomposition of a cellular binomial ideal. Over an algebraically closed field, we further obtain an explicit (but not necessarily minimal) primary decomposition of such an ideal.
Cite
@article{arxiv.1409.0179,
title = {Decompositions of Cellular Binomial Ideals},
author = {Zekiye Sahin Eser and Laura Felicia Matusevich},
journal= {arXiv preprint arXiv:1409.0179},
year = {2017}
}
Comments
Improved proofs of Corollary 3.7, Proposition 3.9, Theorem 4.1 and Theorem 4.3