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A degree bound for codimension two lattice ideals

交换代数 2007-05-23 v1

摘要

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.

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引用

@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}
}