A degree bound for codimension two lattice ideals

2002/11/20 by Leah H. Gold, Gold, Leah H.
Mathematics · #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC

paper · pdf · doi:10.48550/arxiv.math/0211326

arxiv created 2002/11/20 · arxiv updated 2009/11/30

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.

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