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Physical Sciences and Mathematics Commons

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University of Nebraska - Lincoln

Department of Mathematics: Faculty Publications

2021

Containment problem

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Full-Text Articles in Physical Sciences and Mathematics

Symbolic Rees Algebras, Eloísa Grifo, Alexandra Seceleanu Feb 2021

Symbolic Rees Algebras, Eloísa Grifo, Alexandra Seceleanu

Department of Mathematics: Faculty Publications

We survey old and new approaches to the study of symbolic powers of ideals. Our focus is on the symbolic Rees algebra of an ideal, viewed both as a tool to investigate its symbolic powers and as a source of challenging problems in its own right. We provide an invitation to this area of investigation by stating several open questions.