English

Local dual spaces and primary decomposition

Commutative Algebra 2024-12-03 v2 Algebraic Geometry

Abstract

Generalizing the concept of the Macaulay inverse system, we introduce a way to describe localizations of an ideal in a polynomial ring. This leads to an approach to the differential primary decomposition as a description of the affine scheme defined by the ideal.

Keywords

Cite

@article{arxiv.2401.00597,
  title  = {Local dual spaces and primary decomposition},
  author = {Justin Chen and Marc Härkönen and Anton Leykin},
  journal= {arXiv preprint arXiv:2401.00597},
  year   = {2024}
}

Comments

7 pages

R2 v1 2026-06-28T14:05:43.826Z