A degree bound for codimension two lattice ideals

Details A degree bound for codimension two lattice ideals A degree bound for codimension two lattice ideals

2002-11-20

arxiv.org/abs/math/0211326v1

Mathematics

Commutative Algebra

Scientific paper

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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