Mixed Multiplicities of Multi-Graded Algebras Over Noetherian Local Rings
Commutative Algebra
2009-02-10 v1
Abstract
Let S be a finitely generated standard multi-graded algebra over a Noetherian local ring A. This paper first expresses mixed multiplicities of S in term of Hilbert-Samuel multiplicity that explained the mixed multiplicities S as the Hilbert-Samuel multiplicities for quotient modules of S. As an application, we get formulas for the mixed multiplicities of ideals that covers the main result of Trung-Verma 2007 [TV].
Keywords
Cite
@article{arxiv.0902.1240,
title = {Mixed Multiplicities of Multi-Graded Algebras Over Noetherian Local Rings},
author = {Duong Quoc Viet and Truong Thi Hong Thanh},
journal= {arXiv preprint arXiv:0902.1240},
year = {2009}
}
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17 pages