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Title:A Bound on the Multiplicity for Codimension 2 Lattice Ideals
Abstract: Herzog and Srinivasan have conjectured that for any homogeneous k-algebra of codimension d, the multiplicity is bounded by $\prod_{i=1}^{d} M_i$ where M_i is the maximal degree of an ith syzygy. I will explain where this conjecture came from and then using the structure of codimension 2 lattice ideals given by Peeva and Sturmfels, I will show that the conjecture holds for this special case. |