A note on the multiplicity of determinantal ideals

Details A note on the multiplicity of determinantal ideals A note on the multiplicity of determinantal ideals

2005-04-05

arxiv.org/abs/math/0504077v1

Mathematics

Commutative Algebra

Scientific paper

Herzog, Huneke, and Srinivasan have conjectured that for any homogeneous $k$-algebra, the multiplicity is bounded above by a function of the maximal degrees of the syzygies and below by a function of the minimal degrees of the syzygies. The goal of this paper is to establish the multiplicity conjecture of Herzog, Huneke, and Srinivasan about the multiplicity of graded Cohen-Macaulay algebras over a field $k$ for $k$-algebras $k[x_1, ..., x_n]/I$ being $I$ a determinantal ideal of arbitrary codimension.

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