The degree sequence of ideals and multiplicities
Commutative Algebra
2015-05-06 v3
Abstract
This paper investigates the relationship between multiplicities and the degree sequence of ideals in graded algebras, gives multiplicity equations of graded rings via the degree sequence of ideals, and characterizes mixed multiplicities and multiplicities of Rees rings in terms of the degree sequence of ideals. As an application, the paper answered an open question on the multiplicity of Rees rings.
Cite
@article{arxiv.1503.02755,
title = {The degree sequence of ideals and multiplicities},
author = {Duong Quoc Viet},
journal= {arXiv preprint arXiv:1503.02755},
year = {2015}
}
Comments
19 pages