Generalized test ideals, sharp \(F\)-purity, and sharp test elements

DOI10.4310/MRL.2008.v15.n6.a14zbMath1185.13010arXiv0711.3380MaRDI QIDQ1000637

Karl Schwede

Publication date: 10 February 2009

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.3380

zbMATH Keywords

test idealF-puregeneralized tight closuresharp test element

Mathematics Subject Classification ID

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

Related Items (14)

$F$-singularities: applications of characteristic $p$ methods to singularity theory ⋮ A refinement of sharply \(F\)-pure and strongly \(F\)-regular pairs ⋮ Minimal log discrepancies of determinantal varieties via jet schemes ⋮ The Cartier core map for Cartier algebras ⋮ -PURITY VERSUS LOG CANONICITY FOR POLYNOMIALS ⋮ \(F\)-signature of pairs and the asymptotic behavior of Frobenius splittings ⋮ Globally \(F\)-regular and log Fano varieties ⋮ Centers of \(F\)-purity ⋮ Discreteness and rationality of \(F\)-jumping numbers on singular varieties ⋮ Positivity of anticanonical divisors and \(F\)-purity of fibers ⋮ Test Ideals Vs. Multiplier Ideals ⋮ Nef anti-canonical divisors and rationally connected fibrations ⋮ Test ideals in non-$\mathbb{Q}$-Gorenstein rings ⋮ On the behavior of test ideals under finite morphisms

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