Symbolic Rees algebras and set-theoretic complete intersections

2022/10/12 by Clare D’Cruz, D'Cruz, Clare, Mousumi Mandal +3
Computer Science · Mathematics · Neuroscience · #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Pain Management and Placebo Effect #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2210.05886

openalex publication_date 2022/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

In this paper we extend a result of Cowsik on set-theoretic complete intersection and a result Huneke, Morales and Goto and Nishida about Noetherian symbolic Rees algebras of ideals. As applications, we show that the symbolic Rees algebras of the following ideals are Noetherian and the ideals are set-theoretic complete intersections: (a) the edge ideal of a complete graph, (b) the Fermat ideal and (c) the Jacobian ideal of a certain hyperplane arrangement.

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