Analytic spread and integral closure of integrally decomposable modules
Commutative Algebra
2020-11-04 v2
Abstract
We relate the analytic spread of a module expressed as the direct sum of two submodules with the analytic spread of its components. We also study a class of submodules whose integral closure can be obtained by means of a simple computer algebra procedure once the integral closure of each row ideal is known. In particular, we analyze a class of modules, not necessarily of maximal rank, whose integral closure is determined by the family of Newton polyhedra of their row ideals.
Cite
@article{arxiv.2001.08313,
title = {Analytic spread and integral closure of integrally decomposable modules},
author = {Carles Bivià-Ausina and Jonathan Montaño},
journal= {arXiv preprint arXiv:2001.08313},
year = {2020}
}
Comments
Final version, to appear in Nagoya Mathematical Journal