Symbolic Rees Algebras

Eloísa Grifo () and Alexandra Seceleanu ()
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Eloísa Grifo: University of Nebraska – Lincoln, Department of Mathematics
Alexandra Seceleanu: University of Nebraska – Lincoln, Department of Mathematics

A chapter in Commutative Algebra, 2021, pp 343-371 from Springer

Abstract: Abstract 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.

Keywords: Symbolic powers; Symbolic Rees algebra; Containment problem; Primary: 13A15; Secondary: 13H05 (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-89694-2_11

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DOI: 10.1007/978-3-030-89694-2_11

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