A characterization of the Arf property for quadratic quotients of the Rees algebra
Alessio Borz\`i
TL;DR
This paper characterizes the Arf property in quadratic quotients of the Rees algebra and numerical semigroup duplications, advancing understanding of their algebraic structure.
Contribution
It offers a new characterization of the Arf property in specific algebraic constructions, linking Rees algebra quotients and numerical semigroup duplications.
Findings
Characterization of the Arf property in quadratic Rees algebra quotients
Connection established between numerical duplication and Arf property
Provides criteria for identifying the Arf property in these algebraic structures
Abstract
We provide a characterization of the Arf property in both the numerical duplication of a numerical semigroup and in a member of a family of quotients of the Rees algebra studied in arXiv:1403.4200 [math.AC]
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