Test Ideals Vs. Multiplier Ideals

DOI10.1017/S0027763000026052zbMath1162.13004arXiv0706.1124OpenAlexW2964259426MaRDI QIDQ3618631

Ken-ichi Yoshida, Mircea Mustaţă

Publication date: 2 April 2009

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1124

zbMATH Keywords

tight closurelog canonical thresholdmultiplier idealF-pure thresholdTest ideal

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

Ordinary varieties and the comparison between multiplier ideals and test ideals II ⋮ $F$-singularities: applications of characteristic $p$ methods to singularity theory ⋮ 𝐹-thresholds and test ideals of Thom-Sebastiani type polynomials ⋮ Discreteness and rationality of \(F\)-jumping numbers on singular varieties ⋮ $V$-filtrations in positive characteristic and test modules ⋮ A note on discreteness of 𝐹-jumping numbers ⋮ Positive characteristic algebraic geometry ⋮ On the behavior of test ideals under finite morphisms ⋮ $F$-invariants of diagonal hypersurfaces ⋮ The \(F\)-pure threshold of a Calabi-Yau hypersurface

Cites Work

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• A generalization of tight closure and multiplier ideals
• Characterizations of Regular Local Rings of Characteristic p
• F-rationality of Rees algebras