On the containment problem

On the containment problem 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Rendiconti del Circolo Matematico di Palermo Springer Journals

On the containment problem

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Publisher
Springer Milan
Copyright
Copyright © 2016 by The Author(s)
Subject
Mathematics; Mathematics, general; Algebra; Geometry; Analysis; Applications of Mathematics
ISSN
0009-725X
eISSN
1973-4409
D.O.I.
10.1007/s12215-016-0281-7
Publisher site
See Article on Publisher Site

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.

Journal

Rendiconti del Circolo Matematico di PalermoSpringer Journals

Published: Oct 28, 2016

References

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