Polar multiplicities and integral dependence
Commutative Algebra
2024-07-03 v3 Algebraic Geometry
Abstract
We provide new criteria for the integrality and birationality of an extension of graded algebras in terms of the general notion of polar multiplicities of Kleiman and Thorup. As an application, we obtain a new criterion for when a module is a reduction of another in terms of certain mixed Buchsbaum-Rim multiplicities. Furthermore, we prove several technical results regarding polar multiplicities.
Keywords
Cite
@article{arxiv.2401.10198,
title = {Polar multiplicities and integral dependence},
author = {Yairon Cid-Ruiz},
journal= {arXiv preprint arXiv:2401.10198},
year = {2024}
}
Comments
to appear in International Mathematics Research Notices