Mixed multiplicities of graded families of ideals
Commutative Algebra
2021-05-04 v2 Algebraic Geometry
Abstract
We show the existence (and define) the mixed multiplicities of arbitrary graded families of ideals under mild assumptions. In particular, our methods and results are valid for the case of arbitrary -primary graded families. Furthermore, we provide a far-reaching "Volume = Multiplicity formula" for the mixed multiplicities of graded families of ideals.
Keywords
Cite
@article{arxiv.2010.11862,
title = {Mixed multiplicities of graded families of ideals},
author = {Yairon Cid-Ruiz and Jonathan Montaño},
journal= {arXiv preprint arXiv:2010.11862},
year = {2021}
}
Comments
15 pages