Adjoint ideals and a correspondence between log canonicity and \(F\)-purity

DOI10.2140/ant.2013.7.917zbMath1305.14010arXiv1105.0072OpenAlexW2964133471MaRDI QIDQ365896

Shunsuke Takagi

Publication date: 9 September 2013

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.0072

zbMATH Keywords

test ideals\(F\)-pureadjoint idealslog canonical

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Multiplier ideals (14F18)

Related Items (8)

An analogue of adjoint ideals and PLT singularities in mixed characteristic ⋮ $F$-singularities: applications of characteristic $p$ methods to singularity theory ⋮ On accumulation points of \(F\)-pure thresholds on regular local rings ⋮ Reductions of non-lc ideals and non \(F\)-pure ideals assuming weak ordinarity ⋮ Bigness of the tangent bundle of del Pezzo surfaces and \(D\)-simplicity ⋮ Positive characteristic algebraic geometry ⋮ A new subadditivity formula for test ideals ⋮ Quantifying singularities with differential operators

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