Finitistic test ideals on numerically ℚ-Gorenstein varieties

2017/09/27 by Shunsuke Takagi, Takagi, Shunsuke
Mathematics · #13A35 #14B05 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:13A35 #msc:14B05

paper · pdf · doi:10.48550/arxiv.1709.09383

12 pages, v2: errors in Lemma 3.1 and Remark 3.3 corrected, v3: a minor revision, to appear in J. Algebra

arxiv created 2018/08/07 · arxiv updated 2018/08/08

Abstract

We prove that the finitistic test ideal τ_{\rm fg}(R, Δ, \mathfraka^t) coincides with the big test ideal τ_{\rm b}(R, Δ, \mathfraka^t) if the pair (R,Δ) is numerically log ℚ-Gorenstein.

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