Numerical characterizations for integral dependence of graded modules
Commutative Algebra
2026-05-15 v1 Algebraic Geometry
Abstract
In this paper we construct {\em adic}, {\em saturated} and -density functions for a torsion-free module in a graded setup. Then we give some simple criteria for checking the integral dependence of two graded modules in terms of various well-studied invariants.
Keywords
Cite
@article{arxiv.2605.14203,
title = {Numerical characterizations for integral dependence of graded modules},
author = {Suprajo Das and Sudeshna Roy and Vijaylaxmi Trivedi},
journal= {arXiv preprint arXiv:2605.14203},
year = {2026}
}
Comments
Preliminary version, comments are welcome