English

On the containment problem

Algebraic Geometry 2018-03-20 v1 Commutative Algebra

Abstract

The purpose of this note is to provide an overview of the containment problem for symbolic and ordinary powers of homogeneous ideals, related conjectures and examples. We focus here on ideals with zero dimensional support. This is an area of ongoing active research. We conclude the note with a list of potential promising paths of further research.

Keywords

Cite

@article{arxiv.1601.01308,
  title  = {On the containment problem},
  author = {Tomasz Szemberg and Justyna Szpond},
  journal= {arXiv preprint arXiv:1601.01308},
  year   = {2018}
}

Comments

13 pages, 1 figure

R2 v1 2026-06-22T12:24:16.654Z