Discreteness and rationality of \(F\)-jumping numbers on singular varieties

DOI10.1007/s00208-009-0461-2zbMath1198.13007arXiv0906.4679OpenAlexW3101199965MaRDI QIDQ976779

Wenliang Zhang, Manuel Blickle, Karl Schwede, Shunsuke Takagi

Publication date: 16 June 2010

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.4679

zbMATH Keywords

Frobenius maptest 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 (35)

Local Cohomology—An Invitation ⋮ Functorial test modules ⋮ \(F\)-singularities under generic linkage ⋮ \(D\)-modules, Bernstein-Sato polynomials and \(F\)-invariants of direct summands ⋮ The TestIdeals package for Macaulay2 ⋮ BIG COHEN–MACAULAY TEST IDEALS IN EQUAL CHARACTERISTIC ZERO VIA ULTRAPRODUCTS ⋮ Discreteness of 𝐹-jumping numbers at isolated non-ℚ-Gorenstein points ⋮ A refinement of sharply \(F\)-pure and strongly \(F\)-regular pairs ⋮ Discrepancies of non-\(\mathbb Q\)-Gorenstein varieties ⋮ An algorithm for computing compatibly Frobenius split subvarieties ⋮ Big tight closure test elements for some non-reduced excellent rings ⋮ TEST IDEALS IN RINGS WITH FINITELY GENERATED ANTI-CANONICAL ALGEBRAS ⋮ On accumulation points of \(F\)-pure thresholds on regular local rings ⋮ Ascending chain condition for -pure thresholds on a fixed strongly -regular germ ⋮ Finitistic test ideals on numerically \(\mathbb{Q}\)-Gorenstein varieties ⋮ Test ideals of non-principal ideals: computations, jumping numbers, alterations and division theorems ⋮ The \(F\)-pure threshold of a determinantal ideal ⋮ Jumping numbers of analytic multiplier ideals (with an appendix by S ⋮ Test ideals via algebras of 𝑝^{-𝑒}-linear maps ⋮ Stability of test ideals of divisors with small multiplicity ⋮ A subadditivity formula for multiplier ideals associated to log pairs ⋮ F-Thresholds versusa-Invariants for Standard Graded Toric Rings ⋮ Frobenius and Cartier algebras of Stanley-Reisner rings ⋮ \(F\)-signature of pairs and the asymptotic behavior of Frobenius splittings ⋮ Castelnuovo-Mumford regularity and the discreteness of $F$-jumping coefficients in graded rings ⋮ On asymptotic socle degrees of local cohomology modules ⋮ A note on discreteness of 𝐹-jumping numbers ⋮ On the behavior of test ideals under finite morphisms ⋮ Ordinary varieties and the comparison between multiplier ideals and test ideals ⋮ Comparing multiplier ideals to test ideals on numerically ℚ‐Gorenstein varieties ⋮ A new subadditivity formula for test ideals ⋮ On strongly \(F\)-regular inversion of adjunction ⋮ Poincaré series of multiplier and test ideals ⋮ Semiample perturbations for log canonical varieties over an F-finite field containing an infinite perfect field ⋮ The \(F\)-pure threshold of a Calabi-Yau hypersurface

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