Bernstein–Sato functional equations, V-filtrations, and multiplier ideals of direct summands
DOI10.1142/S0219199721500838zbMath1506.14037arXiv1907.10017OpenAlexW3197300924MaRDI QIDQ5048644
Emily E. Witt, Jack Jeffries, Josep Àlvarez Montaner, Luis Núñez-Betancourt, Daniel J. Hernández, Pedro Teixeira
Publication date: 16 November 2022
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.10017
ring of invariantsBernstein-Sato polynomial\(V\)-filtrationmultiplier ideal\(D\)-moduledirect summand
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) Actions of groups on commutative rings; invariant theory (13A50) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Local cohomology and commutative rings (13D45) Commutative rings of differential operators and their modules (13N10) Rings of differential operators (associative algebraic aspects) (16S32) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On certain rings of differentiable type and finiteness properties of local cohomology
- Algorithms for computing multiplier ideals
- Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
- Discreteness and rationality of \(F\)-thresholds
- Multiplier ideals, \(v\)-filtrations and transversal sections
- \(D\)-modules over rings with finite F-representation type
- Micro-local analysis of prehomogeneous vector spaces
- An example of a ring Morita equivalent to the Weyl algebra \(A_ 1\).
- B-functions and holonomic systems. Rationality of roots of B-functions
- Algorithmic computation of local cohomology modules and the local cohomological dimension of algebraic varieties
- On \(b\)-function, spectrum and rational singularity
- An algorithm of computing \(b\)-functions
- On Hodge spectrum and multiplier ideals
- A localization algorithm for \(D\)-modules
- Algorithmic computation of de Rham cohomology of complements of complex affine varieties
- \(D\)-modules, Bernstein-Sato polynomials and \(F\)-invariants of direct summands
- The global homological dimension of the ring of differential operators on a nonsingular variety over a field of positive characteristic
- The analytic continuation of generalized functions with respect to a parameter
- Jumping coefficients of multiplier ideals
- Bernstein -- Sato polynomials on normal toric varieties
- Quantifying singularities with differential operators
- Hodge ideals for \(\mathbf{Q}\)-divisors: birational approach
- Bernstein-Sato polynomials and spectral numbers
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
- Geometric interpretation of tight closure and test ideals
- The multiplier ideal is a universal test ideal
- Algorithms for Bernstein--Sato polynomials and multiplier ideals
- Rings of differential operators on classical rings of invariants
- Test ideals in non-$\mathbb{Q}$-Gorenstein rings
- Cartier modules: Finiteness results
- F-rational rings have rational singularities
- Theory of prehomogeneous vector spaces (algebraic part)—the English translation of Sato’s lecture from Shintani’s note
- Tight closure and strong F-regularity
- Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
- Adjoint ideals along closed subvarieties of higher codimension
- Existence of minimal models for varieties of log general type
- Singularities on normal varieties
- $F$-thresholds of hypersurfaces
- Rings of Differential Operators on Invariant Rings of Tori
- Differential Operators on an Affine Curve
- La théorie du polynôme de Bernstein-Sato pour les algèbres de Tate et de Dwork-Monsky-Washnitzer
- Caracteristiques D'Euler-Poincare, Fonctions Zeta Locales et Modifications Analytiques
- F-Regularity, Test Elements, and Smooth Base Change
- Singularities of Pairs
- TEST IDEALS IN RINGS WITH FINITELY GENERATED ANTI-CANONICAL ALGEBRAS
- Restriction, Subadditivity, and Semicontinuity Theorems for Hodge Ideals
- Multiplier ideals, 𝑉-filtration, and spectrum
- A generalization of tight closure and multiplier ideals
- An interpretation of multiplier ideals via tight closure
- Lifting differential operators from orbit spaces
- Test ideals via algebras of 𝑝^{-𝑒}-linear maps
- HODGE IDEALS FOR -DIVISORS, -FILTRATION, AND MINIMAL EXPONENT
- Hodge Ideals
- Comparing multiplier ideals to test ideals on numerically ℚ‐Gorenstein varieties
- Bernstein–Sato polynomials of arbitrary varieties
- On the behavior of test ideals under finite morphisms
- Mixed Hodge modules
- Algorithms for \(D\)-modules -- restriction, tensor product, localization, and local cohomology groups
- A subadditivity property of multiplier ideals.
- Behavior of test ideals under smooth and étale homomorphisms.
This page was built for publication: Bernstein–Sato functional equations, V-filtrations, and multiplier ideals of direct summands
