Tight closure does not commute with localization

2007/10/15 by Holger Brenner, Paul Monsky, Brenner, Holger +1 · 2 citations
Computer Science · Mathematics · #13A35 #14H60 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.0710.2913

openalex publication_date 2007/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an example showing that tight closure does not commute with localization.

Cited by

• Growth of primary decompositions of Frobenius powers of ideals
• Generic bounds for Frobenius closure and tight closure

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