On a generalization of test ideals
From MaRDI portal
Publication:4652216
DOI10.1017/S0027763000008904zbMath1094.13004arXivmath/0210131OpenAlexW1908901253MaRDI QIDQ4652216
Publication date: 24 February 2005
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0210131
Related Items (56)
F-singularities of pairs and inversion of adjunction of arbitrary codimension ⋮ On F-pure thresholds ⋮ A sufficient condition for strong $F$-regularity ⋮ Functorial test modules ⋮ Mathematical biography of Melvin Hochster ⋮ Discreteness and rationality of \(F\)-thresholds ⋮ F-thresholds, tight closure, integral closure, and multiplicity bounds ⋮ Rational singularities associated to pairs ⋮ Generalized test ideals and symbolic powers ⋮ A generalization of tight closure and multiplier ideals ⋮ A New Version of α-Tight Closure ⋮ \(F\)-singularities under generic linkage ⋮ Nilpotence of Frobenius action and the Hodge filtration on local cohomology ⋮ Legendre polynomials roots and the \(F\)-pure threshold of bivariate forms ⋮ $F$-singularities: applications of characteristic $p$ methods to singularity theory ⋮ BIG COHEN–MACAULAY TEST IDEALS IN EQUAL CHARACTERISTIC ZERO VIA ULTRAPRODUCTS ⋮ Tate algebras and Frobenius non-splitting of excellent regular rings ⋮ On the constancy regions for mixed test ideals ⋮ An estimate for 𝐹-jumping numbers via the roots of the Bernstein-Sato polynomial ⋮ Discreteness of 𝐹-jumping numbers at isolated non-ℚ-Gorenstein points ⋮ A refinement of sharply \(F\)-pure and strongly \(F\)-regular pairs ⋮ Openness of splinter loci in prime characteristic ⋮ Big tight closure test elements for some non-reduced excellent rings ⋮ A variant of Wang's theorem ⋮ On accumulation points of \(F\)-pure thresholds on regular local rings ⋮ Counterexamples to Bertini theorems for test ideals ⋮ 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 ⋮ A CharacteristicpAnalog of Multiplier Ideals and Applications# ⋮ Closure-interior duality over complete local rings ⋮ Test ideals via algebras of 𝑝^{-𝑒}-linear maps ⋮ Stability of test ideals of divisors with small multiplicity ⋮ Characteristic-free test ideals ⋮ A dual to tight closure theory ⋮ A subadditivity formula for multiplier ideals associated to log pairs ⋮ Multiplicity bounds in graded rings ⋮ A characteristic \(p\) analogue of plt singularities and adjoint ideals ⋮ Globally \(F\)-regular and log Fano varieties ⋮ Centers of \(F\)-purity ⋮ Discreteness and rationality of \(F\)-jumping numbers on singular varieties ⋮ Excellence in prime characteristic ⋮ An elementary computation of the \(F\)-pure threshold of an elliptic curve ⋮ Uniform approximation of Abhyankar valuation ideals in function fields of prime characteristic ⋮ Test Ideals Vs. Multiplier Ideals ⋮ Strong test ideals associated to Cartier algebras ⋮ Bernstein-Sato theory for arbitrary ideals in positive characteristic ⋮ Singularities on normal varieties ⋮ Length, multiplicity, and multiplier ideals ⋮ Singularities in mixed characteristic via perfectoid big Cohen-Macaulay algebras ⋮ GENERAL HYPERPLANE SECTIONS OF THREEFOLDS IN POSITIVE CHARACTERISTIC ⋮ Test ideals in non-$\mathbb{Q}$-Gorenstein rings ⋮ A note on discreteness of 𝐹-jumping numbers ⋮ THE GAMMA CONSTRUCTION AND ASYMPTOTIC INVARIANTS OF LINE BUNDLES OVER ARBITRARY FIELDS ⋮ On the behavior of test ideals under finite morphisms ⋮ Poincaré series of multiplier and test ideals
Cites Work
- Adjoints of ideals in regular local rings (with an appendix by Steven Dale Cutkosky)
- Coefficient ideals and the Cohen-Macaulay property of Rees algebras
- On the commutation of the test ideal with localization and completion
- Some results on test elements
- F-regular and F-pure rings vs. log terminal and log canonical singularities
- A generalization of tight closure and multiplier ideals
- An interpretation of multiplier ideals via tight closure
- Strong and weak F -regularity are equivalent for graded rings
- A subadditivity property of multiplier ideals.
- Behavior of test ideals under smooth and étale homomorphisms.
This page was built for publication: On a generalization of test ideals
