English

A degree bound for codimension two lattice ideals

Commutative Algebra 2007-05-23 v1

Abstract

Herzog and Srinivasan have conjectured that for any homogeneous k-algebra, the degree is bounded above by a function of the maximal degrees of the syzygies. Combining the syzygy quadrangle decomposition of Peeva and Sturmfels and a delicate case analysis, we prove that this conjectured bound holds for codimension 2 lattice ideals.

Keywords

Cite

@article{arxiv.math/0211326,
  title  = {A degree bound for codimension two lattice ideals},
  author = {Leah H. Gold},
  journal= {arXiv preprint arXiv:math/0211326},
  year   = {2007}
}