A Note on the Multiplicity of Determinantal Ideals
نویسنده
چکیده
Abstract. 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[x1, · · · , xn]/I being I a determinantal ideal of arbitrary codimension.
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