Symbolic Rees algebras
Elo\'isa Grifo, Alexandra Seceleanu
TL;DR
This paper surveys approaches to symbolic powers of ideals, focusing on the symbolic Rees algebra as a tool for understanding these powers and highlighting open problems in the field.
Contribution
It provides a comprehensive overview of methods and open questions related to symbolic Rees algebras, connecting classical and recent research.
Findings
Identification of key properties of symbolic Rees algebras
Presentation of open problems and research directions
Connection between symbolic powers and algebraic geometry
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.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Advanced Combinatorial Mathematics