A note on the multiplicity of determinantal ideals
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
Abstract
Herzog, Huneke, and Srinivasan have conjectured that for any homogeneous -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 for -algebras being a determinantal ideal of arbitrary codimension.
Cite
@article{arxiv.math/0504077,
title = {A note on the multiplicity of determinantal ideals},
author = {Rosa M. Miro-Roig},
journal= {arXiv preprint arXiv:math/0504077},
year = {2007}
}