Tight closure and continuous closure

2017/12/01 by Holger Brenner, Brenner, Holger, Jonathan Steinbuch +1
Mathematics · #13A35 #13B22 #13F45 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13A35 #msc:13B22 #msc:13F45

paper · pdf · doi:10.48550/arxiv.1712.00337

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arxiv created 2017/12/01 · arxiv updated 2017/12/04

Abstract

We show that for ideals primary to a maximal ideal in a normal domain of finite type over the complex numbers, its tight closure is contained inside the continuous closure.

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